Question

Given:
QRS is an isosceles .

If M is midpoint of RQ, what conclusion can be drawn about the two smaller triangles?
ΔSQM ≅ ΔSRM
ΔSMQ ≅ ΔSRM
ΔSQM ≅ ΔSMR
ΔSQM ≅ ΔMRS

Answer 1

the first one by side-side-side postulate 

Answer 2

Solution:

It is given that, ΔQ RS is an isosceles and M is midpoint of R Q.Join SM.

→In Δ SQ M  and Δ S R M

  QM= M R→→ M is midpoint of R Q.

SM is common.

SQ=SR→→[ΔQ RS is an isosceles.]

→→Δ SQ M  ≅ Δ S R M⇒[SSS]

Option A