Question

HELP

GIven:

QRS is an isosceles triangle

If M is midpoint of RQ, then triangle SMQ is congruent to triangle SRM

True or false

Answer 1

True, because the triangle is symmetrical

Hope this helps :)

Answer 2

True

Explanation:

Given: QRS is an isosceles triangle that is QS=SR and M is the mid point of QR.

To prove: ΔSQM≅ΔSRM

Proof: It is given that QRS is an isosceles triangle that is QS=SR and M is the mid point of QR, thus from ΔSQM and ΔSRM, we have

QS=SR (Given)

QM=MR (Mid point)

SM=MS (Reflexive)

Thus, by SSS rule of congruence,

ΔSQM≅ΔSRM

Hence the given statement is true, that is if M is teh point of RQ, then ΔSQM≅ΔSRM.

Hence proved.