Geometry: Classifying Polygons Worksheet

Question 1

A shape has 3 straight sides and 3 vertices. What type of polygon is it?

Accepted Answer

The shape is a triangle because it has 3 straight sides and 3 vertices.

Question 2

Look at the shape shown. Is it a polygon? Explain why or why not.

Accepted Answer

The shape is not a polygon because it has a curved side. Polygons must be closed shapes made only of straight line segments.

Question 3

A polygon has 5 sides. What is the name of this polygon?

Accepted Answer

A polygon with 5 sides is called a pentagon.

Question 4

Classify the polygon shown by the number of sides.

Accepted Answer

The polygon is a hexagon because it has 6 sides.

Question 5

A shape has 4 sides, 4 vertices, and all angles are right angles. Its opposite sides are equal. What is the most specific name for this shape?

Accepted Answer

The shape is a rectangle because it has 4 right angles and opposite sides that are equal.

Question 6

Look at the quadrilateral shown. Classify it as a square, rectangle, rhombus, trapezoid, or parallelogram. Choose the most specific name.

Accepted Answer

The quadrilateral is a trapezoid because it has exactly one pair of parallel sides.

Question 7

A polygon has 8 sides and 8 vertices. What is the name of this polygon?

Accepted Answer

A polygon with 8 sides and 8 vertices is called an octagon.

Question 8

A triangle has 3 equal sides. Classify the triangle by its sides.

Accepted Answer

The triangle is an equilateral triangle because all 3 sides are equal in length.

Question 9

Look at the triangle shown. Classify it by its angles.

Accepted Answer

The triangle is a right triangle because it has one right angle.

Question 10

A polygon is closed and has 7 straight sides. What is the name of the polygon, and how many vertices does it have?

Accepted Answer

The polygon is a heptagon, and it has 7 vertices because polygons have the same number of sides and vertices.

Question 11

Is the shape shown a regular polygon or an irregular polygon? Explain your answer.

Accepted Answer

The shape is an irregular polygon because its sides and angles are not all equal.

Question 12

A quadrilateral has two pairs of parallel sides, but its angles are not right angles. What type of quadrilateral could it be?

Accepted Answer

The quadrilateral could be a parallelogram because it has two pairs of parallel sides and does not need to have right angles.

Question 13

Classify the shape shown using the most specific name: triangle, quadrilateral, pentagon, hexagon, or octagon.

Accepted Answer

The shape is a pentagon because it has 5 sides.

Question 14

A square is also a rectangle. Explain why this statement is true.

Accepted Answer

A square is also a rectangle because it has 4 sides and 4 right angles. A rectangle does not have to have two long sides and two short sides, so a square fits the definition.

Question 15

Sort these polygons by number of sides: triangle, octagon, quadrilateral, pentagon, hexagon. Write them from fewest sides to most sides.

Accepted Answer

The polygons in order from fewest sides to most sides are triangle, quadrilateral, pentagon, hexagon, and octagon.

Geometry: Classifying Polygons

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