# Point vs. Vertex: What's the Difference?

Edited by Harlon Moss || By Janet White || Updated on October 27, 2023
A point refers to a precise location or spot in space, while a vertex is the meeting point of two or more lines or edges, typically in geometry.

## Key Differences

A point is a fundamental concept in mathematics and geometry, representing a specific location in space. It has no size, length, width, or depth. A vertex, on the other hand, has a more specific definition in geometry: it is where two or more straight lines or edges meet.
In the realm of everyday language, point can have a myriad of meanings, from the tip of an object to an argument's main idea. Vertex is less common in daily conversation and retains its geometric significance, specifically referring to the corner or intersection of geometric shapes.
When looking at figures such as polygons or polyhedrons, every corner or intersection of the edges is a vertex. Each vertex, in this case, is still a point in space, but not every point can be considered a vertex unless it's where lines or edges meet.
In broader contexts, point could also denote moments in time or specific items on a list. Vertex, in its other applications, might refer to the highest point, like the vertex of a parabola in mathematics or the top point of a mountain.
Essentially, while every vertex is a point, not every point qualifies as a vertex. A vertex has the added criterion of being an intersection or corner, whereas a point simply denotes a specific location.

## Comparison Chart

### Definition in Geometry

A location in space with no size or volume.
Where two or more straight lines or edges meet.

### Everyday Language

Can refer to the tip of an object or main idea.
Primarily used in geometric contexts.

### Inclusion

A broader term encompassing any spot or location.
A specific kind of point, specifically an intersection/corner.

### Contextual Usage

Used in various contexts beyond geometry.
Predominantly used in relation to geometric shapes.

### Physical Presence

Has no physical size or depth.
While still a point, it's perceivable as a corner or intersection.

## Point and Vertex Definitions

#### Point

A specific location in space.
Mark the point on the map where you want to go.

#### Vertex

The highest point of something, especially in an arc or curve.
The vertex of the parabola is at (0,0).

#### Point

A particular moment in time.
At this point, we should reconsider our strategy.

#### Vertex

The corner point of a geometric shape where two or more lines meet.
A triangle has three vertices.

#### Point

An argument or idea in a discussion.
She made a valid point during the debate.

#### Vertex

An intersection point of two or more edges in a polyhedron.
A cube has eight vertices.

#### Point

A sharp or tapered end
The point of a knife.
The point of the antenna.

#### Vertex

A node in graph theory.
Determine the shortest path between these two vertices.

#### Point

An object having a sharp or tapered end
A stone projectile point.

#### Vertex

The highest point; the apex or summit
The vertex of a mountain.

#### Point

A tapering extension of land projecting into water; a peninsula, cape, or promontory.

#### Vertex

The highest point of the skull.

#### Point

A mark formed by or as if by a sharp end.

#### Point

A mark or dot used in printing or writing for punctuation, especially a period.

#### Vertex

In astrology, the highest point reached in the apparent motion of a celestial body.

A decimal point.

#### Vertex

The point at which the sides of an angle intersect.

#### Point

(Linguistics) A vowel point.

#### Vertex

The point on a triangle or pyramid opposite to and farthest away from its base.

#### Point

One of the protruding marks used in certain methods of writing and printing for the blind.

#### Vertex

A point on a polyhedron common to three or more sides.

#### Point

A dimensionless geometric object having no properties except location.

#### Vertex

A point of maximal curvature on a parabola or hyperbola.

#### Point

An element in a geometrically described set.

#### Vertex

The highest point, top or apex of something.

#### Point

A place or locality considered with regard to its position
Connections to Chicago and points west.

#### Vertex

(anatomy) The highest surface on the skull; the crown of the head.

#### Point

A narrowly particularized and localized position or place; a spot
The troops halted at a point roughly 1,000 yards from the river.

#### Vertex

(geometry) An angular point of a polygon, polyhedron or higher order polytope.

#### Point

A specified degree, condition, or limit, as in a scale or course
The melting point of a substance.

#### Vertex

The common point of the two rays that form an angle.

#### Point

Any of the 32 equal divisions marked at the circumference of a mariner's compass card that indicate direction.

#### Vertex

The point at which an axis meets a curve or surface.

#### Point

The interval of 11°15′ between any two adjacent markings.

#### Vertex

(mathematics) A point on the curve with a local minimum or maximum of curvature.

#### Point

A distinct condition or degree
Finally reached the point of exhaustion.

#### Vertex

(graph theory) One of the elements of a graph joined or not by edges to other vertices.

#### Point

The interval of time immediately before a given occurrence; the verge
On the point of resignation.
At the point of death.

#### Vertex

(computer graphics) A point in 3D space, usually given in terms of its Cartesian coordinates.

#### Point

A specific moment in time
At this point, we are ready to proceed.

#### Vertex

(optics) The point where the surface of a lens crosses the optical axis.

#### Point

An objective or purpose to be reached or achieved, or one that is worth reaching or achieving
What is the point of discussing this issue further?.

#### Vertex

(particle physics) An interaction point.

#### Point

The major idea or essential part of a concept or narrative
You have missed the whole point of the novel.

#### Vertex

(astrology) The point where the prime vertical meets the ecliptic in the western hemisphere of a natal chart.

#### Point

A significant, outstanding, or effective idea, argument, or suggestion

#### Vertex

(typography) A sharp downward point opposite a crotch, as in the letters "V" and "W" but not "Y".

#### Point

A separate, distinguishing item or element; a detail
Diplomacy is certainly not one of his strong points. Your weak point is your constant need for approval.

#### Vertex

A turning point; the principal or highest point; top; summit; crown; apex.

#### Point

A quality or characteristic that is important or distinctive, especially a standard characteristic used to judge an animal.

#### Vertex

The top, or crown, of the head.

#### Point

A single unit, as in counting, rating, or measuring.

#### Vertex

The zenith, or the point of the heavens directly overhead.

#### Point

A unit of academic credit usually equal to one hour of class work per week during one semester.

#### Vertex

The point in any figure opposite to, and farthest from, the base; the terminating point of some particular line or lines in a figure or a curve; the top, or the point opposite the base.

#### Vertex

The point of intersection of lines or the point opposite the base of a figure

#### Point

Sports & Games A unit of scoring or counting.

#### Vertex

The highest point (of something);
At the peak of the pyramid

#### Point

A unit equal to one dollar, used to quote or state variations in the current prices of stocks or commodities.

#### Vertex

The topmost point of a head or skull.
The hat sat atop the vertex of his head.

#### Point

A unit equal to one percent, used to quote or state interest rates or shares in gross profits.

#### Point

One percent of the total principal of a loan, paid up front to the lender and considered separately from the interest.

#### Point

(Music) A phrase, such as a fugue subject, in contrapuntal music.

#### Point

(Printing) A unit of type size equal to 0.01384 inch, or approximately 1/72 of an inch.

#### Point

A jeweler's unit of weight equal to 2 milligrams or 0.01 carat.

#### Point

The act or an instance of pointing.

#### Point

The stiff and attentive stance taken by a hunting dog.

#### Point

A reconnaissance or patrol unit that moves ahead of an advance party or guard, or that follows a rear guard.

#### Point

The position occupied by such a unit or guard
A team of Rangers were walking point at the outset of the operation.

#### Point

Either of two positions in ice hockey just inside the offensive zone near the boards, usually assumed by defenders attempting to keep the puck in the offensive zone.

#### Point

(Basketball) A position in the forecourt beyond the top of the key, usually taken by the point guard.

#### Point

In women's lacrosse, a defensive player who marks the opponent playing nearest to the goal (the first home).

#### Point

An electrical contact, especially one in the distributor of an automobile engine.

#### Point

Chiefly British An electrical socket or outlet.

#### Point

Points The extremities of an animal, such as a cat or horse, especially when they differ in color from the rest of the coat.

#### Point

A movable rail, tapered at the end, such as that used in a railroad switch.

#### Point

The vertex of the angle created by the intersection of rails in a frog or switch.

#### Point

A ribbon or cord with a metal tag at the end, used to fasten clothing in the 16th and 17th centuries.

To direct or aim
Point a weapon.

#### Point

To bring (something) to notice
Pointed out an error in their reasoning.

#### Point

To indicate the position or direction of
Pointed out the oldest buildings on the skyline.

#### Point

To sharpen (a pencil, for example); provide with a point.

#### Point

To separate with decimal points
Pointing off the hundredths place in a column of figures.

#### Point

To mark (text) with points; punctuate.

#### Point

(Linguistics) To mark (a consonant) with a vowel point.

#### Point

To give emphasis to; stress
Comments that simply point up flawed reasoning.

#### Point

To indicate the presence and position of (game) by standing immobile and directing the muzzle toward it. Used of a hunting dog.

#### Point

To fill and finish the joints of (masonry) with cement or mortar.

#### Point

To direct attention or indicate position with or as if with the finger.

#### Point

To turn the mind or thought in a particular direction or to a particular conclusion
All indications point to an early spring.

#### Point

To be turned or faced in a given direction; aim.

#### Point

To indicate the presence and position of game. Used of a hunting dog.

#### Point

(Nautical) To sail close to the wind.

#### Point

A discrete division of something.

#### Point

An individual element in a larger whole; a particular detail, thought, or quality.
The Congress debated the finer points of the bill.

#### Point

A particular moment in an event or occurrence; a juncture.
There comes a point in a marathon when some people give up.
At this point in the meeting, I'd like to propose a new item for the agenda.

#### Point

(archaic) Condition, state.
She was not feeling in good point.

#### Point

A topic of discussion or debate; a proposition.
I made the point that we all had an interest to protect.

#### Point

A focus of conversation or consideration; the main idea.
The point is that we should stay together, whatever happens.

#### Point

A purpose or objective, which makes something meaningful.
Since the decision has already been made, I see little point in further discussion.

#### Point

(obsolete) The smallest quantity of something; a jot, a whit.

#### Point

(obsolete) A tiny amount of time; a moment.

#### Point

A specific location or place, seen as a spatial position.
We should meet at a pre-arranged point.

#### Point

A zero-dimensional mathematical object representing a location in one or more dimensions; something considered to have position but no magnitude or direction. Category:en:Shapes

#### Point

A full stop or other terminal punctuation mark.

#### Point

(music) A dot or mark used to designate certain tones or time. In ancient music, it distinguished or characterized certain tones or styles (points of perfection, of augmentation, etc.). In modern music, it is placed on the right of a note to raise its value, or prolong its time, by one half.

#### Point

(by extension) A note; a tune.

#### Point

A distinguishing quality or characteristic.
Logic isn't my strong point.

#### Point

The chief or excellent features.
The points of a horse

#### Point

Something tiny, as a pinprick; a very small mark.
The stars showed as tiny points of yellow light.

#### Point

(now only in phrases) A tenth; formerly also a twelfth.
Possession is nine points of the law.

#### Point

Each of the marks or strokes written above letters, especially in Semitic languages, to indicate vowels, stress etc.

#### Point

A unit of scoring in a game or competition.
The one with the most points will win the game

#### Point

(mathematics) A decimal point (now especially when reading decimal fractions aloud).
10.5 is "ten point five", or ten and a half.

#### Point

(economics) A unit used to express differences in prices of stocks and shares.

#### Point

(typography) a unit of measure equal to 1/12 of a pica, or approximately 1/72 of an inch (exactly 1/72 of an inch in the digital era).

#### Point

(UK) An electric power socket.

#### Point

A unit of bearing equal to one thirty-second of a circle, i.e. 11.25°.
Ship ahoy, three points off the starboard bow!

#### Point

(UK) A unit of measure for rain, equal to 0.254 mm or 0.01 of an inch.

#### Point

Either of the two metal surfaces in a distributor which close or open to allow or prevent the flow of current through the ignition coil. There is usually a moving point, pushed by the distributor cam, and a fixed point, and they are built together as a unit.

#### Point

A sharp extremity.

#### Point

The sharp tip of an object.
Cut the skin with the point of the knife.

#### Point

Any projecting extremity of an object.

#### Point

An object which has a sharp or tapering tip.
His cowboy belt was studded with points.

#### Point

(backgammon) Each of the twelve triangular positions in either table of a backgammon board, on which the stones are played.

#### Point

A peninsula or promontory.

#### Point

The position at the front or vanguard of an advancing force.

#### Point

Each of the main directions on a compass, usually considered to be 32 in number; a direction.

#### Point

(nautical) The difference between two points of the compass.
To fall off a point

#### Point

Pointedness of speech or writing; a penetrating or decisive quality of expression.

#### Point

An area of contrasting colour on an animal, especially a dog; a marking.
The point color of that cat was a deep, rich sable.

#### Point

A tine or snag of an antler.

#### Point

(fencing) A movement executed with the sabre or foil.
Tierce point

#### Point

(heraldry) One of the several different parts of the escutcheon.

#### Point

(nautical) A short piece of cordage used in reefing sails.

#### Point

(historical) A string or lace used to tie together certain garments.

#### Point

Lace worked by the needle.
Point de Venise; Brussels point

#### Point

An item of private information; a hint; a tip; a pointer.

#### Point

The attitude assumed by a pointer dog when he finds game.
The dog came to a point.

#### Point

(falconry) The perpendicular rising of a hawk over the place where its prey has gone into cover.

#### Point

The act of pointing, as of the foot downward in certain dance positions.

#### Point

The gesture of extending the index finger in a direction in order to indicate something.

A vaccine point.

#### Point

In various sports, a position of a certain player, or, by extension, the player occupying that position.

#### Point

(cricket) A fielding position square of the wicket on the off side, between gully and cover.

#### Point

The position of the player of each side who stands a short distance in front of the goalkeeper.

#### Point

(baseball) The position of the pitcher and catcher.

#### Point

(hunting) A spot to which a straight run is made; hence, a straight run from point to point; a cross-country run.

#### Point

(intransitive) To extend the index finger in the direction of something in order to show where it is or to draw attention to it.
It's rude to point at other people.

#### Point

(intransitive) To draw attention to something or indicate a direction.
The arrow of a compass points north
The skis were pointing uphill.
The arrow on the map points towards the entrance

#### Point

(intransitive) To face in a particular direction.

#### Point

To direct toward an object; to aim.
To point a gun at a wolf, or a cannon at a fort

#### Point

To give a point to; to sharpen; to cut, forge, grind, or file to an acute end.
To point a dart, a pencil, or (figuratively) a moral

#### Point

(intransitive) To indicate a probability of something.

#### Point

To repair mortar.

#### Point

To fill up and finish the joints of (a wall), by introducing additional cement or mortar, and bringing it to a smooth surface.

#### Point

(stone-cutting) To cut, as a surface, with a pointed tool.

#### Point

(transitive) To direct or encourage (someone) in a particular direction.
If he asks for food, point him toward the refrigerator.

#### Point

To separate an integer from a decimal with a decimal point.

#### Point

(transitive) To mark with diacritics.

#### Point

(dated) To supply with punctuation marks; to punctuate.
To point a composition

#### Point

To direct the central processing unit to seek information at a certain location in memory.

#### Point

To direct requests sent to a domain name to the IP address corresponding to that domain name.

#### Point

To sail close to the wind.
Bear off a little, we're pointing.

#### Point

To indicate the presence of game by a fixed and steady look, as certain hunting dogs do.

#### Point

To approximate to the surface; to head.

#### Point

(dated) To give point to (something said or done); to give particular prominence or force to.

#### Point

(obsolete) To appoint.

To appoint.

#### Point

To give a point to; to sharpen; to cut, forge, grind, or file to an acute end; as, to point a dart, or a pencil. Used also figuratively; as, to point a moral.

#### Point

To direct toward an abject; to aim; as, to point a gun at a wolf, or a cannon at a fort.

#### Point

Hence, to direct the attention or notice of.
Whosoever should be guided through his battles by Minerva, and pointed to every scene of them.

#### Point

To supply with punctuation marks; to punctuate; as, to point a composition.

#### Point

To mark (a text, as in Arabic or Hebrew) with vowel points; - also called vocalize.

#### Point

To give particular prominence to; to designate in a special manner; to indicate, as if by pointing; as, the error was pointed out.
He points it, however, by no deviation from his straightforward manner of speech.

#### Point

To indicate or discover by a fixed look, as game.

#### Point

To fill up and finish the joints of (a wall), by introducing additional cement or mortar, and bringing it to a smooth surface.

#### Point

To cut, as a surface, with a pointed tool.

#### Point

To direct the point of something, as of a finger, for the purpose of designating an object, and attracting attention to it; - with at.
Now must the world point at poor Katharine.
Point at the tattered coat and ragged shoe.

#### Point

To indicate the presence of game by fixed and steady look, as certain hunting dogs do.
He treads with caution, and he points with fear.

#### Point

To approximate to the surface; to head; - said of an abscess.

#### Point

That which pricks or pierces; the sharp end of anything, esp. the sharp end of a piercing instrument, as a needle or a pin.

#### Point

An instrument which pricks or pierces, as a sort of needle used by engravers, etchers, lace workers, and others; also, a pointed cutting tool, as a stone cutter's point; - called also pointer.

#### Point

Anything which tapers to a sharp, well-defined termination. Specifically: A small promontory or cape; a tract of land extending into the water beyond the common shore line.

#### Point

The mark made by the end of a sharp, piercing instrument, as a needle; a prick.

#### Point

An indefinitely small space; a mere spot indicated or supposed. Specifically: (Geom.) That which has neither parts nor magnitude; that which has position, but has neither length, breadth, nor thickness, - sometimes conceived of as the limit of a line; that by the motion of which a line is conceived to be produced.

#### Point

An indivisible portion of time; a moment; an instant; hence, the verge.
When time's first point begunMade he all souls.

#### Point

A mark of punctuation; a character used to mark the divisions of a composition, or the pauses to be observed in reading, or to point off groups of figures, etc.; a stop, as a comma, a semicolon, and esp. a period; hence, figuratively, an end, or conclusion.
And there a point, for ended is my tale.
Commas and points they set exactly right.

#### Point

Whatever serves to mark progress, rank, or relative position, or to indicate a transition from one state or position to another, degree; step; stage; hence, position or condition attained; as, a point of elevation, or of depression; the stock fell off five points; he won by tenpoints.
A lord full fat and in good point.

#### Point

That which arrests attention, or indicates qualities or character; a salient feature; a characteristic; a peculiarity; hence, a particular; an item; a detail; as, the good or bad points of a man, a horse, a book, a story, etc.
He told him, point for point, in short and plain.
In point of religion and in point of honor.
Shalt thou disputeWith Him the points of liberty ?

#### Point

Hence, the most prominent or important feature, as of an argument, discourse, etc.; the essential matter; esp., the proposition to be established; as, the point of an anecdote.
They will hardly prove his point.

#### Point

A small matter; a trifle; a least consideration; a punctilio.
This fellow doth not stand upon points.
[He] cared not for God or man a point.

#### Point

A dot or mark used to designate certain tones or time

#### Point

A fixed conventional place for reference, or zero of reckoning, in the heavens, usually the intersection of two or more great circles of the sphere, and named specifically in each case according to the position intended; as, the equinoctial points; the solstitial points; the nodal points; vertical points, etc. See Equinoctial Nodal.

#### Point

One of the several different parts of the escutcheon. See Escutcheon.

#### Point

One of the points of the compass (see Points of the compass, below); also, the difference between two points of the compass; as, to fall off a point.

#### Point

A a string or lace used to tie together certain parts of the dress.

#### Point

Lace wrought the needle; as, point de Venise; Brussels point. See Point lace, below.

A switch.

#### Point

An item of private information; a hint; a tip; a pointer.

#### Point

A fielder who is stationed on the off side, about twelve or fifteen yards from, and a little in advance of, the batsman.

#### Point

The attitude assumed by a pointer dog when he finds game; as, the dog came to a point. See Pointer.

#### Point

A standard unit of measure for the size of type bodies, being one twelfth of the thickness of pica type. See Point system of type, under Type.

#### Point

A tyne or snag of an antler.

#### Point

One of the spaces on a backgammon board.

#### Point

A movement executed with the saber or foil; as, tierce point.

#### Point

A pointed piece of quill or bone covered at one end with vaccine matter; - called also vaccine point.

#### Point

One of the raised dots used in certain systems of printing and writing for the blind. The first practical system was that devised by Louis Braille in 1829, and still used in Europe (see Braille). Two modifications of this are current in the United States: New York point founded on three bases of equidistant points arranged in two lines (viz., : :: :::), and a later improvement, American Braille, embodying the Braille base (:::) and the New-York-point principle of using the characters of few points for the commonest letters.

#### Point

In various games, a position of a certain player, or, by extension, the player himself;

#### Point

A geometric element that has position but no extension;
A point is defined by its coordinates

#### Point

The precise location of something; a spatially limited location;
She walked to a point where she could survey the whole street

#### Point

A brief version of the essential meaning of something;
Get to the point
He missed the point of the joke
Life has lost its point

#### Point

A specific identifiable position in a continuum or series or especially in a process;
A remarkable degree of frankness
At what stage are the social sciences?

#### Point

An isolated fact that is considered separately from the whole;
Several of the details are similar
A point of information

#### Point

An instant of time;
At that point I had to leave

#### Point

The object of an activity;
What is the point of discussing it?

#### Point

A V shape;
The cannibal's teeth were filed to sharp points

#### Point

A very small circular shape;
A row of points
Draw lines between the dots

#### Point

The unit of counting in scoring a game or contest;
He scored 20 points in the first half
A touchdown counts 6 points

#### Point

A promontory extending out into a large body of water;
They sailed south around the point

#### Point

A distinct part that can be specified separately in a group of things that could be enumerated on a list;
He noticed an item in the New York Times
She had several items on her shopping list
The main point on the agenda was taken up first

#### Point

A style in speech or writing that arrests attention and has a penetrating or convincing quality or effect

#### Point

An outstanding characteristic;
His acting was one of the high points of the movie

#### Point

Sharp end;
He stuck the point of the knife into a tree
He broke the point of his pencil

#### Point

Any of 32 horizontal directions indicated on the card of a compass;
He checked the point on his compass

#### Point

A linear unit used to measure the size of type; approximately 1/72 inch

#### Point

A punctuation mark (.) placed at the end of a declarative sentence to indicate a full stop or after abbreviations;
In England they call a period a stop

#### Point

A V-shaped mark at one end of an arrow pointer;
The point of the arrow was due north

#### Point

The property of a shape that tapers to a sharp point

#### Point

A distinguishing or individuating characteristic;
He knows my bad points as well as my good points

#### Point

The gun muzzle's direction;
He held me up at the point of a gun

A wall socket

#### Point

A contact in the distributor; as the rotor turns its projecting arm contacts distributor points and current flows to the spark plugs

#### Point

Indicate a place, direction, person, or thing; either spatially or figuratively;
I showed the customer the glove section
He pointed to the empty parking space
He indicated his opponents

#### Point

Be oriented;
The weather vane points North

#### Point

Direct into a position for use;
Point a gun
He charged his weapon at me

#### Point

Direct the course; determine the direction of travelling

#### Point

Be a signal for or a symptom of;
These symptoms indicate a serious illness
Her behavior points to a severe neurosis
The economic indicators signal that the euro is undervalued

#### Point

Sail close to the wind

#### Point

Mark (Hebrew words) with diacritics

#### Point

Mark with diacritics;
Point the letter

#### Point

Mark (a psalm text) to indicate the points at which the music changes

#### Point

Be positionable in a specified manner;
The gun points with ease

#### Point

Intend (something) to move towards a certain goal;
He aimed his fists towards his opponent's face
Criticism directed at her superior
Direct your anger towards others, not towards yourself

#### Point

Give a point to;
The candles are tapered

#### Point

Repair the joints of bricks;
Point a chimney

#### Point

The sharp end or tip of an object.
The point of the pencil is broken.

#### Point

A unit or score in a game.
He scored three points in the last minute.

## FAQs

#### What does "point" mean in a debate or discussion?

It refers to a particular idea, argument, or statement being made.

#### Can a curve have a vertex?

In the context of a parabola or other such curves, the vertex refers to the highest or lowest point.

#### Is vertex used outside of geometry?

While primarily geometric, it can also describe the top point of physical objects, like a mountain.

#### How many points does a line segment have?

It has infinitely many points but two distinct endpoints.

#### Is every vertex a point?

Yes, every vertex is a point, but not every point is a vertex.

#### How is vertex used in graph theory?

It represents a node in a graph.

#### Can a circle have a vertex?

Typically, no, since a circle is a continuous curve with no corners.

#### Can a point be seen or touched?

In theoretical terms, no, because it has no size. But for practical purposes, we often represent them with visible marks.

#### How is "point" used in sports?

It can refer to a unit of score or a specific moment in the game.

#### How many vertices does a square have?

A square has four vertices.

#### In what context is "point of view" used?

It refers to a particular attitude or way of considering a matter.

#### What does "get to the point" mean?

It means to address the main matter or idea without digression.

#### Can a 3D object have a vertex?

Yes, 3D objects like polyhedrons have vertices where their edges meet.

#### What's the vertex of an angle?

It's the point where the two rays or sides of the angle meet.

#### Is there a difference between a dot and a point?

A dot is a visible mark, while a point, in geometry, is a theoretical concept with no size.

#### How many points determine a line?

Two distinct points determine a unique line.

#### Are the vertices always the corners of a shape?

In polygons and polyhedrons, yes, vertices are the corners.

#### Is the top of a cone called a vertex?

Yes, it's the point where all lines on the surface converge.

#### How many vertices does a pentagon have?

A pentagon has five vertices.

#### Can a point move?

In geometry, a point doesn't move. But in discussions about motion, we might describe a point's changing location.