Geometric Proofs...2

[nycmathguy]

 

[MathLover1]

given:

PQ perpendicular to MN
m< 1 = < 2

prove:

triangle PQR is congruent to triangle NQP

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

1. PQ perpendicular to MN .............given
2. m< 1 = < 2 ..................................given
3. MQ=QN...............across equal angles lie equal sides
4. QP=QP............ ......common side
5.MP=NP.......................if two sides are equal (see 3 and 4), third sides are equal too
6. ∆ MPQ = ∆ NQP .............................SSS

 

[nycmathguy]

given:

PQ perpendicular to MN
m< 1 = < 2

prove:

triangle PQR is congruent to triangle NQP

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

1. PQ perpendicular to MN .............given
2. m< 1 = < 2 ..................................given
3. MQ=QN...............across equal angles lie equal sides
4. QP=QP............ ......common side
5.MP=NP.......................if two sides are equal (see 3 and 4), third sides are equal too
6. ∆ MPQ = ∆ NQP .............................SSS

Very good. No more geometric proofs until I decide to study this material.