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Mathematics 16 Online
OpenStudy (anonymous):

Please help me with this one. @mathstudent55

OpenStudy (mathstudent55):

By construction you have this now. |dw:1409006624135:dw|

OpenStudy (mathstudent55):

Because of def of angle bisector, the two marked angles are congruent. |dw:1409006715899:dw|

OpenStudy (anonymous):

Yay, this makes sense so far!! :D

OpenStudy (mathstudent55):

You are trying to prove triangles ABD and CBD are congruent, right?

OpenStudy (anonymous):

Yes, correct- by finding the missing statement within the options given.

OpenStudy (anonymous):

The reflexive property would be along BD?

OpenStudy (mathstudent55):

We need to prove two triangles congruent. So far we have one side of one triangle congruent to one side of the other triangle. Also, we have one angle of one triangle congruent to one angle of the other triangle. We need another part of the triangle. We know SSS, SAS, AAS. We see in the proof they used SAS, so we are looking for another side. You are correct. If you state BD is congruent to BD, by reflexive, then you have your other side

OpenStudy (mathstudent55):

Seg. BD is congruent to seg. BD by reflexive. |dw:1409007237545:dw|

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