Question

Given:
Line segment NP ≅ Line segment QP
Line segment MP bisects ∠NPQ

Prove: ΔMNP ≅ ΔMQP

Select the statement with the corresponding reason for each step of the proof.
Answer

Line segment NP ≅ Line segment QP
Read Answer Items for Question 1

∠NPM ≅ ∠QPM
Read Answer Items for Question 1

Line segment MP ≅ Line segment MP
Read Answer Items for Question 1

ΔMNP ≅ ΔMQP
Read Answer Items for Question 1

Answer
A.
Reflexive Property
B.
Given
C.
Definition of Angle Bisector
D.
SAS

Answer 1

I need help @Hero

Answer 2

From that information, it looks like you're dealing with this?

Answer 3

PM is equal to itself by reflexive property.
Do you see what information you have to prove congruency?

Answer 4

Yep, same thing.

Answer 5

Prove: ΔMNP ≅ ΔMQP

Select the statement with the corresponding reason for each step of the proof.

Match Term Definition
A) Given
∠NPM ≅ ∠QPM B) SAS
C) Reflexive Property
ΔMNP ≅ ΔMQQ D) Definition of Angle Bisector

Answer 6

Do you see why ∠NPM ≅ ∠QPM?
With those equal sides and those equal angles, what's going on here? Why are those triangles congruent?