1. Curtis Bayer and Nathan LeBlanc
Equivalent 2D Shapes
Curtis Bayer and Nathan LeBlanc

2. In order for 2D shapes to be equivalent, their areas must be equal to one another.
Ex: =
Total Area = 9 cm²
Total Area = 9 cm²

3. In order to figure out if the shapes are equivalent, you must calculate the area of the shapes using the information provided.
Ex:
Equilateral Triangle
Square =
Height = 3 cm
Base = 6 cm
Sides = 3 cm

4. Find the area using the measurements and determine if the shapes are equivalent.
Ex: =
A= BxH 2
A = 6x3
A = 9 cm²
A = LxW
A = 3 x 3
A = 9 cm²

5. Some questions will ask to find the side length of a shape by using the information available.
Ex:
Rectangle
Trapezoid =
Area = 30 cm²
Length = 6 cm
If these shapes are equivalent, what is the width of the rectangle?

6. Knowing that they are equivalent, the rectangle and the trapezoid therefore have the same area.
Using the area of the rectangle, divide that number by the length to get the width.
A = 30 cm² =
A = 30 cm²
Length = 6 cm
W = A ÷ L
W = 30 ÷6 , 𝑊=5 𝑐𝑚

7. Now everyone, work on the handout questions.