Similar Figures and Proportions

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 

• 7 in

• 9 in

• 12 in

• 14 in

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

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

• x = 10

• x = 4

• x = 2

• x = 5

Find missing side length of the similar triangles

• 5

• 7

• 9

• 11

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

Pick the correct Similarity Statement for the Triangles shown.

• ΔCAB ~ ΔDEF

• ΔABC ~ ΔDFE

• ΔABC ~ ΔDEF

• ΔBCA ~ ΔDEF

Which side is corresponding to 18?

• 5

• 6

• 7

• 15

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar

State if the triangles in each pair are similar. If so, state how you know they are similar.

• Yes, AA Similarity

• Yes, SSS Similarity

• Yes, SAS Similarity

• Not Similar