Geometric Proofs...3

[nycmathguy]

 

[MathLover1]

given:

PN bisects MQ
< M and < Q are right angles

prove:

triangle PQR is congruent to triangle NMR

statement.......................................reason

1. PN bisects MQ.......................given
2. < M and < Q are right angles.....given
3. PR =RN and MR=RQ................bisecting forms two = segments
4. < M= < Q .........identity
5. < P= <N................... by def. of vertical angles
6. Δ PQR ≅ Δ NMR.................ASA

 

[nycmathguy]

given:

PN bisects MQ
< M and < Q are right angles

prove:

triangle PQR is congruent to triangle NMR

statement.......................................reason

1. PN bisects MQ.......................given
2. < M and < Q are right angles.....given
3. PR =RN and MR=RQ................bisecting forms two = segments
4. < M= < Q .........identity
5. < P= <N................... by def. of vertical angles
6. Δ PQR ≅ Δ NMR.................ASA

We will return to this material in the future.