Question

In ΔABC shown below, ∠BAC is congruent to ∠BCA.



Given: Base ∠BAC and ∠ACB are congruent.

Prove: ΔABC is an isosceles triangle.

When completed (fill in the blanks), the following paragraph proves that is congruent to making ΔABC an isosceles triangle.

Construct a perpendicular bisector from point B to .
Label the point of intersection between this perpendicular bisector and as point D.
m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector.
∠BDA is congruent to ∠BDC by the _______1________.
is congruent to by _______2________.
ΔBAD is congruent to ΔBCD

Answer 1

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