Question

1.If △MNO ≅△XYZ, name the parts equal toi) MO= ____ii)< Y = ____iii) NO= ________ iv) XY= __________ v) < M= _________
2.∆PQR is an isosceles triangle with PQ = QR and S is the midpoint of PR.

Is ∆PQS≅∆RQS? If yes, state the congruent condition.

Answer 1

Step-by-step explanation:

1

i)XY

ii) <N

iii) YZ

iv) MN

v) <X

2

yes ∆PQS congruent to ∆RQS

in ∆ PQS and ∆RQS

QR=QP (Given)

<P = <R (base < of an isosceles triangle are equal)

PS = RS (since S is the midpoint of PR)

Therefore, ∆PQS congruent to ∆RQS ,by SAS ( Side-Angle-Side) congruent rule.