SOLUTION: Instructions: First Prove that triangles are congruent, and then use CPCTC Given: Angle P and Angle R are right Angle's, M is the midpoint of PR Prove: Angle N is congruent t

Algebra ->  Geometry-proofs -> SOLUTION: Instructions: First Prove that triangles are congruent, and then use CPCTC Given: Angle P and Angle R are right Angle's, M is the midpoint of PR Prove: Angle N is congruent t      Log On


   

Question 664715: Instructions: First Prove that triangles are congruent, and then use CPCTC
Given: Angle P and Angle R are right Angle's, M is the midpoint of PR
Prove: Angle N is congruent to Angle Q
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Given: ∠P and ∠R are right Angle's 
       M is the midpoint of PR
Prove: ∠N ≅ ∠Q




1.  ∠P ≅ ∠R      Given that both are right angles

2.  PM ≅ RM       Because M is the midpoint of PR

3.  ∠PMN ≅ ∠RMQ  Vertical angles

4. ᐃNPM ≅ ᐃQMR   Angle-side-angle (steps 1,2,3)

5. ∠N ≅ ∠Q       Corresponding parts of congruent triangles.

Edwin