Congruency and Similarity

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

Are these two triangles similar? Which do you use to prove it?

• Yes, AA Theorem

• Yes, SAS Theorem

• Yes, SSS Theorem

• Not Similar

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

• x = 10

• x = 4

• x = 2

• x = 5

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

Match the congruent sides and angles.

• < E

• < B

• < F

• < D

• < C

• AC

• DE

• < A

• BC

• DF

Which is the correct way to write a congruency statement about the two figures shown?

• FED ~ TSR

• FED ~ RST

• FED ~ STR

• FED ~ RTS

• They are all correct.

State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.

Solve for x. The polygons in each pair are similar.

• 11

• 15

• 10

• 9

Which similarity statement is true for the figures shown?

• AA

• SAS

• SSS

• AAS

Solve for X.

• 2 ft

• 3 ft

• 4 ft

• 6 ft