Question

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

Answer 1

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 _______1________.
∆BAD is congruent to ∆BCD by the _______2________.
is congruent to because congruent parts of congruent triangles are congruent (CPCTC).
Consequently, ∆ABC is isosceles by definition of an isosceles triangle.

Answer 2

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/1001/1001_G3_Q1_a.gif

Answer 3

Its definitely not the first choice
1. Angle-Side-Angle (ASA) Postulate
2. congruent parts of congruent triangles are congruent (CPCTC)

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

Answer 4

@Hero

Answer 5

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

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 definition of congruent angles.
line AD is congruent to line DC by _______1________.
∆BAD is congruent to ∆BCD by the _______2________.
line AB is congruent to line BC because congruent parts of congruent triangles are congruent (CPCTC).
Consequently, ∆ABC is isosceles by definition of an isosceles triangle.

Answer 6

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

Answer 7

Thank you so much!!! I have a couple similar questions to this...do you think you can help me? I'm doing an online course so they haven't really explained this stuff properly.

Answer 8

Basically, perpendicular bisector is like a median.

Answer 9

Will try my best :) Just post them!