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2 years ago

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Mathematics

2 answers:

pav-90 [236]2 years ago

8 0

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.

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.

suter [353]2 years ago

5 0

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

<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.

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