Geometry

Question 1

What is the number of sides in the triangle?

Accepted Answer

3

Answer

By definition, a triangle is a polygon with three straight sides and three angles. It is the simplest polygon that can enclose a space. The prefix 'tri-' explicitly indicates the number three.

Question 2

One of the polygons is an octagon. What is the number of its sides?

Accepted Answer

8

Answer

An octagon is a polygon with eight sides. The prefix 'octa-' is derived from Greek and means eight, directly indicating the number of sides and angles in this geometric shape. Examples include stop signs, which are octagonal.

Question 3

Six inches is the length and four inches is the width of a rectangle. The region is in2.

Accepted Answer

24

Answer

The area of a rectangle is calculated by multiplying its length by its width. In this case, a length of 6 inches multiplied by a width of 4 inches equals 24 square inches. The unit 'in²' correctly represents square inches for area.

Question 4

45 cm2 is the area of a rectangle. Its width in centimeters, given its length of 9 cm

Accepted Answer

5

Answer

The area of a rectangle is found by multiplying its length by its width (Area = Length × Width). Given the area is 45 cm² and the length is 9 cm, we can find the width by dividing the area by the length: 45 cm² / 9 cm = 5 cm. Therefore, the width of the rectangle is 5 cm.

Question 5

A square has a 24 cm perimeter. The square has an area of cm².

Accepted Answer

36

Answer

First, determine the side length of the square from its perimeter. A square has four equal sides, so the perimeter (24 cm) divided by 4 gives a side length of 6 cm. Then, calculate the area of the square by multiplying the side length by itself (side × side), which is 6 cm × 6 cm = 36 cm².

Geometry Practice Test

Geometry Practice Test

Geometry