Question

In ∆ABC shown below, ∡BAC is congruent to ∡BCA.
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 _______1________.
is congruent to by _______2________.
∆BAD is congruent to ∆BCD by the Angle-Side-Angle

Answer 1

@Shane_B

Answer 2

@Hero

Answer 3

@zepp

Answer 4

Answers: 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. corresponding parts of congruent triangles are congruent (CPCTC)

Answer 5

@Zarkon

Answer 6

honestly idk
sorry

Answer 7

haha its's ok.. i got no cule either lol

Answer 8

*clue

Answer 9

Hints:

1. Draw Out Triangle
2. Create Statement & Reasons Chart
3. Break out your Postulates and Theorems

Answer 10

But i dont really know them lol the theorems and postulates

Answer 11

They're in your Geometry book.

Answer 12

lol well, i take an on line class so they are written down but they are super confusing

Answer 13

*online

Answer 14

At what school?