Similar Triangle Statements

What angle in triangle DEF, corresponds with angle A in triangle ABC?

• D

• F

• C

• E

Find missing side.  The triangles are similar. 

• 5

• 7

• 9

• 11

Are the triangles similar?

• Yes

• No

All angles in similar figures are congruent.  

• True

• False

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

State the postulate that proves these triangles are similar and give the similarity statement.

• SSS and Triangle CBA ~ Triangle FGH

• SAS and Triangle CBA ~ Triangle FGH

• AA and Triangle CBA ~ Triangle FGH

• SSS and Triangle CBA ~ Triangle FHG

• SAS and Triangle CBA ~ Triangle FHG

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

• 12

• 15

• 18

State the postulate that proves these triangles are similar and give the similarity statement.

• SSS and Triangle JKL ~ Triangle TUV

• AA and Triangle JKL ~ Triangle UTV

• SAS and Triangle JKL ~ Triangle TUV

• SSS and Triangle JKL ~ Triangle UTV

• AA and Triangle JKL ~ Triangle TUV

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Which of the following is NOT true about similar figures?

• Similar figures always have the same shape.

• Similar figures always have the same size.

• Similar figures always have corresponding angles that are equal.

• Similar figures always have corresponding sides that are proportional.