1. Mo bisects angle PMN 1. Given
2. Angle PMO~=Angle NMO 2. Vertical angles are congruent
3. MO ~=MO 3. Reflexive property of congruence
4. OM bisects angle PON 4. Given
5. angle POM ~= angle NOM 5. Vertical angles are congruent
6. triangle PMO ~= triangle NMO 6. SAS Congruence
What are the missing reasons in the two-column proof?
Given: modifying above with right arrow upper M upper O bisects angle upper P upper M upper N and modifying above with right arrow upper O upper M bisects angle upper P upper O upper N
Prove: triangle upper P upper M upper O congruent to triangle upper N upper M upper O
statements | reasons
1. Mo bisects angle PMN 1.?
2. Angle PMO~=Angle NMO 2.?
3. MO ~=MO 3.?
4. OM bisects angle PON 4. ?
5. angle POM ~= angle NOM 5. ?
6. triangle PMO ~= triangle NMO 6.?
1 answer
1 answer