Thread: Congruent Segments

Given segment NQ bisects angle MNP and angle M is congruent to angle P, prove segment MQ is congruent to segment PQ.

Originally Posted by magentarita

Given segment NQ bisects angle MNP and angle M is congruent to angle P, prove segment MQ is congruent to segment PQ.

Hello,

Given:

bisects and

Reflexive Property of Congruence:



Definition of Angle Bisector



AAS: (Angle-Angle-Side Congruency Theorem)



CPCTC (Corresponding Parts of Congruent Trinagles are Congruent)

Originally Posted by masters

Hello,

Given:

bisects and

Reflexive Property of Congruence:



Definition of Angle Bisector



AAS: (Angle-Angle-Side Congruency Theorem)



CPCTC (Corresponding Parts of Congruent Trinagles are Congruent)

Wonderfully done!