Question: in abc shown below is congruent to given ...
Question details
In ΔABC shown below,
is congruent to
:
Given:
≅
Prove: The base angles of an isosceles triangle are congruent.
The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent:
Statement | Reason |
---|---|
1. ![]() |
1. by Construction |
2. | 2. Definition of an Angle Bisector |
3. ![]() ![]() |
3. Reflexive Property |
4. ΔABD ≅ ΔCBD | 4. Side-Angle-Side (SAS) Postulate |
5. ∠ BAC ≅ ∠ BCA | 5. CPCTC |
Which statement can be used to fill in the numbered blank space? (4 points)
∠ DBA ≅ ∠ CDB |
|
∠ CAB ≅ ∠ ACB |
|
∠ ABD ≅ ∠ CBD |
|
∠ BDA ≅ ∠ BDC |
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