Shape And Formula Of A Polygon Quiz

1. How many angles are there in a triangle?

Three

Five

Six

Ten

A triangle is a polygon with three sides, and each side of a triangle forms an angle with the adjacent side. Therefore, a triangle has three angles.

Explanation

A triangle is a polygon with three sides, and each side of a triangle forms an angle with the adjacent side. Therefore, a triangle has three angles.

2. Which of the following is NOT a polygon?

Square

Pentagon

Circle

Triangle

A circle is not a polygon because it does not have straight sides. A polygon is a closed figure made up of straight line segments. A square, pentagon, and triangle all have straight sides and are considered polygons. However, a circle is a curved shape with no straight sides, therefore it is not a polygon.

Explanation

A circle is not a polygon because it does not have straight sides. A polygon is a closed figure made up of straight line segments. A square, pentagon, and triangle all have straight sides and are considered polygons. However, a circle is a curved shape with no straight sides, therefore it is not a polygon.

3. What is the name of a four sided polygon?

Triangle

Octagon

Pentagon

Quadrilateral

A quadrilateral is a polygon with four sides. It is the correct answer because it accurately describes the shape being asked for in the question. A triangle has three sides, an octagon has eight sides, and a pentagon has five sides, so they are not the correct names for a four sided polygon.

Explanation

A quadrilateral is a polygon with four sides. It is the correct answer because it accurately describes the shape being asked for in the question. A triangle has three sides, an octagon has eight sides, and a pentagon has five sides, so they are not the correct names for a four sided polygon.

4. How many sides does a pentagon have?

Three

Four

Five

Six

A pentagon is a polygon with five sides. Therefore, the correct answer is five.

Explanation

A pentagon is a polygon with five sides. Therefore, the correct answer is five.

5. What type of polygon is this?

Quadrilateral

Pentagon

Octagon

Heptagon

The given shape is a quadrilateral because it has four sides. A quadrilateral is a polygon with four sides and four angles.

Explanation

The given shape is a quadrilateral because it has four sides. A quadrilateral is a polygon with four sides and four angles.

6. Can a polygon have cruved sides?

Yes

No

A polygon is a closed figure with straight sides. By definition, it does not have curved sides. Therefore, the correct answer is "no."

Explanation

A polygon is a closed figure with straight sides. By definition, it does not have curved sides. Therefore, the correct answer is "no."

7. What is the least number of sides a polygon can have?

Two

Three

Four

Five

A polygon is defined as a closed plane figure made up of line segments connected end to end. To form a closed figure, you need at least three line segments. A three-sided polygon is called a triangle. Generate Audio Overview

Explanation

A polygon is defined as a closed plane figure made up of line segments connected end to end. To form a closed figure, you need at least three line segments. A three-sided polygon is called a triangle. Generate Audio Overview

8. What makes a polygon a regular polygon?

All sides are the same lenght

All angles are congruent

All angles are 90 degrees

All angles and sides are the same

A regular polygon is defined as having all angles and sides that are the same. This means that every angle in the polygon is congruent and every side has the same length. This property distinguishes a regular polygon from other polygons where the angles or sides may vary.

Explanation

A regular polygon is defined as having all angles and sides that are the same. This means that every angle in the polygon is congruent and every side has the same length. This property distinguishes a regular polygon from other polygons where the angles or sides may vary.

9. A stop sign is what type of polygon?

Quadrilateral

Octagon

Hexagon

Pentagon

A stop sign is an octagon because it has eight sides. The shape of a stop sign is specifically designed to be easily recognizable and to convey a sense of urgency to drivers. The octagonal shape helps to distinguish a stop sign from other road signs and signals, making it clear that drivers must come to a complete stop at that intersection.

Explanation

A stop sign is an octagon because it has eight sides. The shape of a stop sign is specifically designed to be easily recognizable and to convey a sense of urgency to drivers. The octagonal shape helps to distinguish a stop sign from other road signs and signals, making it clear that drivers must come to a complete stop at that intersection.

10. Which of the following is not a regular polygon?

Equilateral Triangle

Square

Rectangle

Regular Hexagon

A regular polygon has all sides of equal length and all interior angles of equal measure. An equilateral triangle, square, and regular hexagon meet these criteria. However, a rectangle does not because, while all angles are equal (90 degrees), its opposite sides are of equal length, but adjacent sides can differ in length. Therefore, it is not a regular polygon.

Explanation

A regular polygon has all sides of equal length and all interior angles of equal measure. An equilateral triangle, square, and regular hexagon meet these criteria. However, a rectangle does not because, while all angles are equal (90 degrees), its opposite sides are of equal length, but adjacent sides can differ in length. Therefore, it is not a regular polygon.