Question

Please help me through this?

Given: Base ∡BAC and ∡ACB are congruent. Prove: ∆ABC is an isosceles triangle.

When completed, the following paragraph proves that Line segment AB is congruent to Line segment BC making ∆ABC an isosceles triangle.

Construct a perpendicular bisector from point B to Line segment AC.
Label the point of intersection between this perpendicular bisector and Line segment 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 definition of congruent angles.
Line segment AD is congruent to Line segment DC by _______1________.
∆BAD is congruent to ∆BCD by the _______2________.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent (CPCTC).
Consequently, ∆ABC is isosceles by definition of an isosceles triangle.


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

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

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

1. corresponding parts of congruent triangles are congruent (CPCTC)
2. the definition of a perpendicular bisector

Answer 1

oh man... i had that question in geometry

Answer 2

@Chrisgie help me out?

Answer 3

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