Corresponding Side Lengths of Similar Figures

A student’s rectangular desk is 30 inches long and 18 inches wide. The teacher’s desk is similar to the student’s desk and has a length of 50 inches. What is the width of the teacher’s desk?

• 20 inches

• 30 inches

• 12 inches

• 50 inches

How are corresponding side lengths of two similar figures related?

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

• A
• B
• C
• D

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

• 20

• 25

• 100

• 40

Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape.  What is the scale factor or multiplier used to make the the smaller one larger?

• 2

• ½

• ⅖

• 5/2

The pair of figures is similar. Find the missing side.

• x = 1

• x = 3

• x = 9

• x = 5

The pair of figures is similar. Find the missing side.

• x = 9

• x = 28

• x = 7

• x = 63

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft

Find the missing side length.

• 9

• 6

• 8

• 7