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

Answer:

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.

Answer 2

Answer:

. 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

for similar all the corresponding angle should be equal