Question

In ∆ABC shown below, ∡BAC is congruent to ∡BCA.


Which of the following shows the correct placement of the missing reasons?

Construct a perpendicular bisector from point B to line AC .
Label the point of intersection between this perpendicular bisector and line AC 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________. line AD
is congruent to line DC by _______2________.
∆BAD is congruent to ∆BCD by the Angle-Side-Angle (ASA) Postulate.
Consequently, line AB is congruent to line BC because congruent parts of congruent triangles are congruent
1. the definition of congruent angles
2. Angle-Side-Angle (ASA) Postulate

1. the definition of congruent angles
2. the definition of a perpendicular bisector

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

1. Angle-Side-Angle (ASA) Postulate
2. congruent parts of congruent triangles are congruent (CPCTC)