Chapter 5 Ratio Proportion and Similar Figures

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

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

State the postulate used to show the triangles are similar.

• AA~

• SAS~

• SSS~

• none

Determine if the triangles are similar.

• similar

• not similar

Using a proportion, find the height of the tree.

• x = 0.0625 ft.

• 36 ft.

• 16 ft.

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet