159,046 views
14 votes
14 votes
The figure below shows Isosceles triangle ABC, with AC =BC and CD bisecting

The figure below shows Isosceles triangle ABC, with AC =BC and CD bisecting-example-1
User Kent Johnson
by
2.7k points

1 Answer

19 votes
19 votes

weare asked to show that given the isosceles triangle ABC, and being CD a bisecting segment to prove that angle Step 1:

AC = BC (given)

Step 2:

segment CD congruent with CD Reason : Reflexive property

Step 3:

Segment AD congruent segment DB reason: Angle bisector in triangle

Step 4:

triangle ACD congruent triangle DCB reason: SSA using sides AD = DB, side CD (common) and angles Step 5:

angle Therefore, the last option of steps is the correct one as per your list of options.

User Ribena
by
3.0k points