Equivalent Figures Quiz

What are equivalent figures?

• B) 2-D shapes that have equal areas.

• A) 2-D shapes that have equal perimeters.

• C) 3-D shapes that have equal volumes.

• D) 3-D shapes that have equal surface areas.

Given two equivalent figures where one is a rectangle with sides 8 and 12, and the other is a square, what is the side length of the square?

• A) 8

• B) 10

• C) 12

• D) 16

If the area of an equivalent circle is equal to the area of a square with side length 10, what is the radius of the circle? (Use π = 3.14)

• D) 15.9

• C) 10

• B) 7.07

• A) 5.64

A gardener replaces an old garden in the shape of a regular pentagon with an equivalent new garden in the shape of a circle. If the area of the pentagon is 150 square meters, what is the radius of the circle? (Use π = 3.14)

• D) 8

• A) 5

• B) 6.91

• C) 7.74

The administration at a daycare rearranged the layout of its play area from a square (ABCD) to an equivalent rectangle (EFGH). If the side length of the square was 10 meters, what is the area of the rectangle?

• B) 100 square meters

• D) 200 square meters

• A) 50 square meters

• C) 150 square meters