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​

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In ΔQRS and ΔQLK,

QR/QL = QS/QK

28/4 = 28/4

7/1 = 7/1 --[1]

AngleLQK and AngleRQS are equal (VOA)

Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.

[A] ΔQRS ~ ΔQLK by SAS similarity.

. similar, AAA QLK

Step-by-step 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

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step-by-step explanation

2r= 2300

r =1150