Finding Missing Side Lengths with Similar Figures

What is the first step in finding missing side lengths using similarity?

• Identify corresponding sides

• Set up a proportion

• Divide by the coefficient

• Cross multiply

In a pair of similar rectangles, if one side of the first rectangle is 10 and the corresponding side of the second rectangle is 15, what is the ratio of the sides?

• 3:2

• 2:3

• 1:1.5

• 1.5:1

When setting up a proportion for similar rectangles, what should you always remember?

• Short over long

• Long over short

• Equal sides

• Cross multiply first

In a pair of similar triangles, if one side of the first triangle is 7 and the corresponding side of the second triangle is 14, what is the ratio of the sides?

• 1:2

• 2:1

• 3:1

• 1:1

If a triangle has sides 7, 8, and 10, and a similar triangle has sides 14, 16, and an unknown side, what is the unknown side?

• 15

• 20

• 18

• 16

In a triangle with sides 24 and 36, what is the corresponding side to 37.5 in a similar triangle?

• 7

• 36

• 10.5

• 24

If a triangle has sides 24 and 36, and a similar triangle has sides 37.5 and an unknown side, what is the unknown side?

• 25

• 30

• 35

• 40

In a pair of similar parallelograms, if one side of the first parallelogram is 12 and the corresponding side of the second parallelogram is 18, what is the ratio of the sides?

• 1.5:1

• 1:1.5

• 3:2

• 2:3

If a parallelogram has sides 12 and 18, and a similar parallelogram has sides 12 and an unknown side, what is the unknown side?

• 14

• 12

• 10

• 8

In a pair of similar parallelograms, if one side of the first parallelogram is 12 and the corresponding side of the second parallelogram is 18, what is the unknown side if the other side of the first parallelogram is 12?

• 10

• 8

• 12

• 14