Question

Which postulate or theorem proves ∆MNQ ≅ ∆PNQ ?


SSS Congruence Postulate


AAS Congruence Postulate


ASA Congruence Postulate

Answer 1

ASA Congruence Postulate

Answer 2

AAS Congruence Postulate proves that ∆MNQ ≅ ∆PNQ

What is congruency?

• When two triangles have shape and sizes then the triangles are said to be congruent.
• There are 5 types of congruencies. They are SAS, AAS, ASA , SSS , RHS.

How to know which postulate or theorem proves ∆MNQ ≅ ∆PNQ ?

Considering    ΔMNQ   and   ΔPNQ

                         ∠QMN   =      ∠QPN   (given)

                          ∠QNM   =       ∠ QNP  ( both are right angles)

                            Side NQ is common

∴        ΔMNQ   and   ΔPNQ are congruent by AAS congruency since two angles and a side are considered to prove the congruency.

• The side is not included between the angles and hence ASA congruency is  not the answer.

The correct answer is option B.   AAS congruency postulates.

Find out more details about "Congruencies" here: https://brainly.com/question/1675117

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