87.7k views
4 votes
I need help ASAP!!! Please tell me the answer Congruent Triangle Proof

I need help ASAP!!! Please tell me the answer Congruent Triangle Proof-example-1

2 Answers

2 votes

Answer:

see explanation

Explanation:

If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.

NQ is an angle bisector then ∠ MNQ = ∠ PNQ

∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then

MN = PN

----------------------------------------------

∠ MNQ = ∠ PNQ

MN = PN ( included sides between the 2 angles )

∠ M = ∠ N

Δ MNQ ≅ Δ PNQ by the ASA postulate

User Lavish
by
8.0k points
2 votes

Answer:

Explanation:

In Δ MNP,

∠NMQ ≅ ∠NPQ

⇒ NM = NP - ------> (I) {Sides opposite to equal angles are equal}

In ΔMNQ & ΔPNQ,

∠MNQ ≅ ∠PNQ {NQ is angle bisector}

NM = NP {from (I)}

∠NMQ ≅ ∠NPQ {Given}

ΔMNQ ≅ ΔPNQ - Angle Side Angle {ASA congruent}

User Dmonopoly
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories