Chapter 5: Ratio, Proportion, and Similar Figures

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

• x = 20

• x = 12

• x = 5

• x = 4

Are the triangles similar? If so, what is the scale factor from ΔDEF to ΔABC?

• Yes. 1.5

• Yes. ⅔

• Yes. 2

• No.

Which similarity theorem, if any, proves that these triangles are similar?

• SSS

• SAS

• AA

• None, the triangles are not similar

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

What is the similarity statement for the triangle pair?

• ΔXYZ~ΔNEW

• ΔXZY~ΔNWE

• ΔZYX~ΔENW

• ΔYZX~ΔNWE

Simplify the fraction: 12/27

• 9/4

• 27/12

• 4/9

• 1/2

Use the table to express the ratio in simplest form: All Trees to Ashes and Oak 

• 40/28

• 28/40

• 10/7

• 7/10

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.

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 

• proportional, congruent 

• congruent, congruent

• proportional, proportional

State the postulate used to show the triangles are similar.

• AA~

• SAS~

• SSS~

• none