Question

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Part 2. Decide if each pair of triangles below is similar. If the triangles are similar, justify your conclusion by stating the similarity condition you used. ​

Answer 1

Answer:C.

each pair of triangles below

UT/IF:TQ/IK:IQ/KF

14/44.8:20/64

5/16:5/16

since they are similar

D.

<R=<K=96°

<J=<X=32°

<Q=<K=52°

since corresponding angle are equal.

they are similar

JR/XV:RQ/KV:JQ/XK

similarity condition are:

the corresponding side are proportional and angle are equal.

Answer 2

9514 1404 393

Answer:

  c. no

  d. yes; AA postulate

Step-by-step explanation:

c. The marked sides have the same ratio ...

  20/14 = 10/7 = 64/44.8

However, the angle between them is not marked as being the same. We cannot conclude the triangles are similar.

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d. Missing angle R is 180° -32° -52° = 96°. So, two of the angles in the triangles match. (32° and 96°) ∆RQJ ~ ∆VKX by the AA postulate.