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

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

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