Similarity

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

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

• congruent, proportional 
• proportional, congruent 
• congruent, congruent
• proportional, proportional

Solve for x.

• 12
• 18
• 9
• 36

Determine whether the triangles are similar. If so, by which similarity postulate are they similar.

• AA ~

• SAS ~

• SSS ~

• Not Similar

Determine whether the triangles are similar. If so, state the similarity ratio and similarity statement.

• Yes, ∆VTU ~ ∆SQR by SSS ~, the ratio is 5:14
• Yes, ∆VTU ~ ∆RQS by SSS ~, the ratio is 14:5
• Yes, ∆VTU ~ ∆SQR by SSS ~, the ratio is 14:5
• Not Similar

Determine whether the triangles are similar. If so, by which similarity postulate are they similar.

• AA ~
• SAS ~
• SSS ~
• Not Similar

Determine whether the triangles are similar. If so, by which similarity postulate are they similar.

• AA ~
• SAS ~
• SSS ~
• Not Similar

The triangles are similar, solve for the question mark.

• 8
• 12.5
• 18
• 24

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10 m
• 12 m
• 15 m
• 18 m

A gymnasium is 96 feet long and 75 feet wide.  On a blueprint, the gymnasium is 5.5 inches long.  To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?  

• 4.3 in
• 8.6 in
• 6.4 in 
• 7.0 in