Understanding similarity

△ABC ~ △DEF. Solve for x.

Tell whether the triangles are similar or not.

• a

• b

Are the triangles similar??

• yes

• no

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent and the sides are proportional.

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Are the triangles similar?

• Yes
• No

8. 

• A
• B
• C
• D

In the diagram the two quadrilaterals are similar. Find JK.

• 3

• 15

• 10

• 6

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

• SP and SR

• QS and PT

• PS and RS

• TP and RQ

Are the following similar? Why or why not?

• Yes, because the corresponding angles are congruent.
• No, the numbers are even
• No, the sides are 2 times larger, but the width is the same.

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

• 5

• 7

• 8

• 12