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HELP

GIven:

QRS is an isosceles triangle

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

True or false

HELP GIven QRS is an isosceles triangle If M is midpoint of RQ then triangle SMQ is congruent to triangle SRM True or false class=

Respuesta :

NidaFurqan
True, because the triangle is symmetrical

Hope this helps :)
boffeemadrid

Answer:

True

Step-by-step 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.

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