Question

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

QRS ~ ____

a. similar, SAS, QLK
b.similar, AA, LQK
c. not similar
d. similar, SSS, LQK​

Answer 1

. similar, AAA QLK

Explanation:

<K=<L base angle of isosceles triangle

<R=<S base angle of isosceles triangle

<KQL=<RQS vertically opposite angle

so

<K=<L=<R=<S

so

∆QRS~QLK by AAA axiom

for similar all the corresponding angle should be equal