Vertex vs Vertices: The Easy Plural Rule + Examples

Vertex vs Vertices at a Glance

Quick answer:

“Vertex” is singular, and “vertices” is plural. Use “vertex” for one corner and “vertices” for two or more. “Vertice” is a misspelling, and “vertexes” is a less common variant. “Vertices” keeps the Latin plural pattern. Example: “A square has four vertices, and each one is a vertex.”

Word	Number	Meaning	Example
Vertex	Singular	One corner point or peak	Point A is a vertex of the triangle.
Vertices	Plural	Two or more corner points	The triangle has three vertices.
Vertexes	Plural (variant)	A less common plural	Skip it in math work.
Vertice	Not standard	A common misspelling	Write vertex or vertices.

The Simple Rule

Count the points. One point takes “vertex.” Two or more take “vertices.” Your verb follows the same count: “The vertex is red,” but “The vertices are red.” That’s the whole rule.

What Does Vertex Mean?

A vertex is a point where lines, edges, or curves meet. In plain terms, it’s a corner. The exact meaning shifts a little with the shape you’re describing.

Vertex in Geometry

In geometry, a vertex is where two sides or edges meet at a corner. A parabola has one too. It’s the turning point of the curve. The graph of y = x² has its vertex at (0, 0).

Vertex in an Angle

An angle forms when two rays share an endpoint. That shared endpoint is the vertex. In angle ABC, point B is the vertex. The middle letter always names it.

Vertex in a Polygon

A polygon has one vertex at each corner. A triangle has three, a pentagon has five, and a hexagon has six. Two sides meet at every one. So the number of vertices always matches the number of sides.

Vertex in Three Dimensional Shapes

In a solid, a vertex is a corner where three or more edges meet. A cube has eight. A square pyramid has five. A cone has one, called the apex. A sphere has none.

What Does Vertices Mean?

“Vertices” is the plural of vertex. It names two or more corner points at once. It works for polygons, solids, and graphs. You can’t write “a vertices,” because “a” signals one item.
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Examples of Vertices

• The rectangle’s four vertices are labeled P, Q, R, and S.
• A triangular prism has six vertices.
• Connect the two vertices with a straight line.
• Count the vertices before you count the edges.

Vertex vs Vertices: The Main Difference

The Vertex vs Vertices difference is number, not meaning. Both words name the same kind of point. “Vertex” counts one. “Vertices” counts more than one. Words like “each,” “three,” and “several” tell you which to pick.

Compare These Sentences

Correct: “Point B is the vertex of the angle.”

Correct: “Points A, B, and C are the vertices of the triangle.”

Incorrect: “Points A, B, and C are the vertex of the triangle.”

Why: Three points need the plural form.

Why Is the Plural of Vertex “Vertices”?

English borrowed “vertex” from Latin, where it meant the top of the head or a summit. Merriam-Webster dates the English word to the 14th century. Some Latin nouns ending in “-ex” form plurals in “-ices.” English kept that habit for words like “index” (indices) and “apex” (apices). That’s why “vertex” became “vertices” (see [INTERNAL LINK: Latin plural nouns]).

Vertexes vs. Vertices

Many Vertex vs Vertices questions start with the form “vertexes.” It looks logical, because English usually adds “-es” to words ending in “x.” The real question is whether that logic wins here.

Is “Vertexes” Correct?

It isn’t an error. Merriam-Webster lists “vertexes” as a variant after “vertices.” Even so, math classes and textbooks treat “vertices” as the standard plural. In that setting, “vertexes” can look like a mistake (see [INTERNAL LINK: spelling variants and which to choose]).

Which Form Should You Use?

Choose “vertices.” It’s standard in math, science, and software writing. Use “vertexes” only if a style guide you follow asks for it. That’s unusual.

How to Pronounce Vertex and Vertices

Vertex Pronunciation

Say VUR-teks. It has two syllables. Stress the first one. The first sound rhymes with “her.”

Vertices Pronunciation

Say VUR-tuh-seez. It has three syllables. Stress still falls on the first. The last syllable sounds like “sees.”

Vertex vs. Vertices in Geometry

Shapes make the choice easy, because you can count the corners.

Triangles

A triangle has three vertices. Each vertex joins two sides. In triangle ABC, the vertices are A, B, and C.

Quadrilaterals

Squares, rectangles, rhombuses, and trapezoids all have four vertices. Point D is one vertex. Points A, B, C, and D together are the vertices.

Three Dimensional Shapes

Solids follow the same rule. Curved shapes are the tricky ones.

Shape	Number of vertices
Cube	8
Rectangular prism	8
Triangular prism	6
Square pyramid	5
Tetrahedron	4
Cone	1
Cylinder	0
Sphere	0

Vertex vs. Vertices in Angles

Every angle has exactly one vertex. Two rays meet there. So “vertex” fits an angle, and “vertices” doesn’t. The plural shows up only when you talk about several angles. Triangle ABC has three angles, so it has three vertices. Each angle has its own vertex.

Incorrect: “The vertices of angle ABC is point B.”

Correct: “The vertex of angle ABC is point B.”

Why: One angle has one vertex.

Vertex vs. Vertices in Graph Theory

In graph theory, a graph is a set of vertices joined by edges. Each vertex is a node. Computer science often says “node,” while mathematicians say “vertex.” The plural stays “vertices.”

A Simple Graph Example

Picture four towns: A, B, C, and D. The towns are vertices. Roads connect A to B, B to C, C to D, and D to A. That graph has four vertices and four edges. Vertex A touches two edges.

Vertex and Edge Are Not the Same

A vertex is a point. An edge is a line that joins two vertices. A cube has eight corner vertices and twelve edges between them. Mixing the two words changes the math.

Vertex vs. Vertices in a Sentence

Examples With “Vertex”

• The vertex of the angle is labeled B.
• Each vertex of the cube touches three edges.
• The parabola opens upward, so its vertex is the lowest point.
• Pick any vertex and start tracing the graph.

Examples With “Vertices”

• The pentagon has five vertices.
• Label the vertices A through E.
• Adjacent vertices share an edge.
• The shortest path passes through three vertices.

Common Mistakes With Vertex and Vertices

Most Vertex vs Vertices errors come from number, not meaning. Here are the five that show up most.

Using “Vertex” After a Plural Number

Incorrect: “A hexagon has six vertex.”

Correct: “A hexagon has six vertices.”

Why: Any number above one needs the plural.

Using “Vertices” for One Point

Incorrect: “Point A is a vertices of the triangle.”

Correct: “Point A is a vertex of the triangle.”

Why: “A” and “one” signal a single item.

Assuming “Vertexes” Is Wrong

It’s a listed variant, so it isn’t a spelling error. A teacher marking math homework may still expect “vertices.” Use “vertices” and you’re safe.

Using the Wrong Verb

Incorrect: “The vertices of the square is labeled.”

Correct: “The vertices of the square are labeled.”

Why: A plural subject takes “are.”

Inventing “Vertice” as the Singular

People hear “vertices” and guess the singular is “vertice.” It isn’t standard English (see [INTERNAL LINK: commonly misspelled words]).

Incorrect: “Each vertice is a corner.”

Correct: “Each vertex is a corner.”

Why: The singular is “vertex.” “Vertice” is a misspelling.

Vertex vs. Vertices Grammar Rules

Use “Vertex” for One

Pair “vertex” with words that point to a single item: “a,” “one,” “this,” “that,” “each,” and “every.” Examples: “each vertex” and “every vertex.”

Use “Vertices” for Multiple Points

Pair “vertices” with “two,” “three,” “several,” “many,” “these,” “those,” and “all.” Examples: “all vertices” and “these vertices.”

Singular and Plural Agreement

Verbs and pronouns follow the noun. A vertex is; vertices are. A vertex joins its edges, and vertices join theirs. Watch the subject, though. In “The number of vertices is eight,” the subject is “number,” so the verb stays singular (see [INTERNAL LINK: subject-verb agreement]).

Vertex vs. Vertices Examples by Context

Context	One point	More than one
Geometry	Each corner of the triangle is a vertex.	The triangle’s vertices are A, B, and C.
Angles	The vertex of angle XYZ is Y.	The two angles have different vertices.
Algebra	The vertex of this parabola is (2, −1).	Both parabolas have vertices on the y-axis.
Graph theory	Start at any vertex.	Join the vertices with edges.
Computer graphics	Each vertex stores a position.	The mesh has 10,000 vertices.

Vertex vs. Vertices vs. Vertexes

Here’s the fast decision list:

• Vertex: one point.
• Vertices: two or more points. This is the standard plural.
• Vertexes: a less common plural. Use it only if a style guide asks.
• Vertice: not standard. Don’t use it.

A Quick Case Study: Describing a Cube

A cube is a good test. It has six square faces, twelve edges, and eight vertices. Each vertex is where three edges meet. Describe one corner this way: “This vertex touches three edges.” Describe them all this way: “The cube has eight vertices.” The counts also pass Euler’s check for convex solids: vertices minus edges plus faces equals two. Here, 8 − 12 + 6 = 2.

A Quick Case Study: Describing a Graph

Say a graph shows five people and six friendships. The people are vertices, and the friendships are edges. Write it like this: “The graph has five vertices and six edges.” Now zoom in on one person: “Vertex C touches four edges.” The number of edges touching a vertex is its degree.

How to Remember Vertex vs. Vertices

• X marks the spot. “Vertex” ends in x, and it names one spot.
• More letters, more points. “Vertices” is longer, and it names more than one point.
• Match the pair. “Vertex” and “vertices” work like “index” and “indices” (see [INTERNAL LINK: singular and plural noun rules]).

Important Facts About Vertex and Vertices

• “Vertex” has older meanings besides corners. Dictionaries list the top of the head and a highest point, as in “the vertex of the hill.”
• Merriam-Webster traces the word to Latin “vertere,” which means “to turn.”
• “Verticies” is a related misspelling. The correct plural ends in “-ices.”

Frequently Asked Questions About Vertex vs. Vertices

Is vertex singular or plural?

“Vertex” is singular. It names one corner point.

Is vertices singular or plural?

“Vertices” is plural. It names two or more corner points.

What is the plural of vertex?

The plural is “vertices.” “Vertexes” is a less common variant.

Is vertexes grammatically correct?

Dictionaries list it as a variant, so it isn’t wrong. Still, “vertices” is the standard choice, especially in math.

What is the plural of vertex in math?

It’s “vertices.” Math textbooks and teachers use it as the standard plural.

Is “vertice” the singular of vertices?

No. “Vertice” isn’t standard English. The singular of “vertices” is “vertex.”

How many vertices does a triangle have?

A triangle has three vertices.

How many vertices does a square have?

A square has four vertices.

How many vertices does a cube have?

A cube has eight vertices.

What is the difference between a vertex and an edge?

A vertex is a point where lines meet. An edge is the line segment that joins two vertices.

What is a vertex in graph theory?

It’s a node in a graph. Edges connect pairs of vertices.

How do you pronounce vertices?

Say VUR-tuh-seez, with the stress on the first syllable.

Which is better: vertices or vertexes?

“Vertices” is better. It’s the standard plural in math and the safer pick everywhere else.

Vertex vs. Vertices: Final Answer

Use “vertex” for one point and “vertices” for more than one. That’s the full Vertex vs Vertices rule, and it works in every shape, angle, and graph.

Quick Reference

• One: a vertex, each vertex, the vertex of the angle.
• More than one: two vertices, all vertices, the vertices of the cube.
• Avoid: “vertice,” “verticies,” and “six vertex.”
• Optional variant: “vertexes,” only when a style guide asks.

Conclusion

Vertex vs Vertices is a question of number. Use “vertex” for a single corner, peak, or node. Use “vertices” for two or more. The plural follows the Latin pattern, so the word never becomes “vertice.” Dictionaries list “vertexes” as a less common variant, but “vertices” is the standard plural in math. That’s the form teachers and textbooks expect. Learn that form first.

Before you write, count the points. One point takes “vertex,” and several points take “vertices.” Then match the verb to that choice. If you remember the pattern with “index” and “indices,” the Vertex vs Vertices decision gets easy. Keep that quick check in mind for every shape, angle, and graph you describe. It takes only a second. Try it on the next diagram you see.