Establishing Triangle Similarity

Which angle corresponds with ∠X?

• ∠N

• ∠W

• ∠E

• ∠Y

Are the triangles similar?

• Yes

• No

Which triangle is similar to the above triangle ?

• A

• B

• C

• D

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

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

Complete the similarity statement below.

ΔUVW~Δ​ (a)  

• UQR

• QUR

• URQ

• QRU

• RUQ

• RQU

The triangles are similar by...

• SAS

• AA

• ASA

• SSS

These two triangles are ​ (a)   by ​ (b)  

• similar

• not similar

• SSS

• SAS

• AA

• not enough information

∆ABC is ​ (a)   ∆DEF, because angle A is ​ (b)   to angle E and the sides are​ (c)  

• not similar

• congruent

• not proportional

• similar

• a dilation of

• proportional

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

• x = 1

• x = 3

• x = 9

• x = 5

In similar figures, what is the relationship between corresponding sides?

• They are parallel

• They are in the same proportion.

• They are equal in length

• They are perpendicular