ln a TRIANGLE ABC,AB=AC AND AD BISECTOR OF ANGLE A ARE TRIANGLE ABD AND TRIANGLE ACD CONGRUENT? IF YES GIVE REASON
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in triangle ABC angle A is the bisector ..........given
therefore angle BAD is congruent with angle CAD ....... bisector of a divides angle in two equal angle
and
ANGLE ABD IS EQUAL TO ANGLE ACD ................. OPPOSITE ANGLE OF CONGRUENT SIDES
therefore
ABD IS SIMILAR TO ACD..........BY A.A TEST
IF THEY ARE SIMILAR THEN THEY WILL BE CONGRUENT
ABD IS CONGRUENT WITH
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