Question

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

Answer 1

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________.
1001_g3_q1_ad-copy.gif is congruent to 1001_g3_q1_dc1.gif by _______2________.
ΔBAD is congruent to ΔBCD by the Angle-Side-Angle (ASA) Postulate.
is congruent to because corresponding parts of congruent triangles are congruent (CPCTC).
Consequently, ΔABC is isosceles by definition of an isosceles triangle. (4 points)

Answer 2

the definition of congruent angles
Angle-Side-Angle (ASA) Postulate

the definition of congruent angles
the definition of a perpendicular bisector

Angle-Side-Angle (ASA) Postulate
the definition of a perpendicular bisector

Angle-Side-Angle (ASA) Postulate
corresponding parts of congruent triangles are congruent (CPCTC)

Answer 3

I think its B