Question

Given: Base ∡BAC and ∡ACB are congruent.

Prove: ∆ABC is an isosceles triangle.

When completed, the following paragraph proves that is congruent to making ∆ABC 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 definition of congruent angles.
is congruent to by by the definition of a perpendicular bisector.

∆BAD is congruent to ∆BCD by the _______1________.

Answer 1

Answers:1. congruent parts of congruent triangles are congruent
2. the definition of a perpendicular bisector

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

1. the definition of congruent angles
2. congruent parts of congruent triangles are congruent (CPCTC)

1. the definition of congruent angles
2. congruent parts of congruent triangles are congruent (CPCTC)

Answer 2

I can't tell what the question is.

Answer 3

oh ok hold on

Answer 4

It was missing a part

Answer 5

is congruent to because _______2________.
Consequently, ∆ABC is isosceles by definition of an isosceles triangle.

Answer 6

AB is congruent to BC because ______2_____.

Answer 7

definition of perpendicular bisector

Answer 8

I was thinking number 2 also, but i wasnt sure...:D

Answer 9

No reason you have posted is a reason for triangles to be congruent so the posting is flawed.