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

Question

2 years ago

12

t.
QRS ~ ____

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

2 answers:

m_a_m_a [10] · Answer 1 · 2022-05-12T11:00:48+03:00

<h2>Answer:</h2>

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.

steposvetlana [31] · Answer 2 · 2022-05-12T12:44:40+03:00

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

<h2>for similar all the corresponding angle should be equal</h2>