In ΔABC shown below, line segment AB is congruent to line segment BC:
2 answers:
Answer:
∠ABD ≅ ∠CBD
Step-by-step explanation:
<u>Given: </u>line segment AB ≅ line segment BC
<u>Prove:</u> The base angles of an isosceles triangle are congruent.
Statement Reason
1. Segment BD is an angle bisector of ∠ABC - By construction
2. ∠ABD ≅ ∠CBD - Definition of an Angle Bisector
3. Segment BD ≅ segment BD - Reflexive Property
4. ΔABD ≅ ΔCBD - Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA - CPCTC
You might be interested in