SOLUTION: Given: Line Segment ON bisects angle JOH, Angle J is congruent to angle H Prove: Line segement JN is congruent to line segement HN 0

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Question 46622: Given: Line Segment ON bisects angle JOH, Angle J is congruent to angle H
Prove: Line segement JN is congruent to line segement HN

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Hope this helpes (I tried to give an image :) )
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!

Proof: In the triangles OJN and OHN,

1) Side OJ = OH ... ... ... Sides opposite to the congruent angles.

2) Side ON is common to both the triangles.

3) Angle JON = Angle HON ... .. Given.(Bisected angles)

Therefore, the triangles OJN and OHN are congruent.

So Seg JN = Seg HN ... .... ..Corresponding sides of the congruent triangles

Proved.

I hope this is clear and you must have understood this now.


gsm