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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 JackLock
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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 Bjarte Brandt
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