Question

PLZ HELP MEDAL, FAN, and TESTIMONIAL 4 best Answer!!!!!!!!!

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 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 by the definition of a perpendicular bisector.

∆BAD is congruent to ∆BCD by the _______1________.
Line segment AB is congruent to Line segment BC because _______2________.
Consequently, ∆ABC is isosceles by definition of an isosceles triangle.

Answer 2

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

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

I think it might be A...

Answer 3

@ShadowLegendX @iPwnBunnies @Gabylovesyou @AngelCriner @Bunnijjane

Answer 4

@jim_thompson5910 @nincompoop

Answer 5

sorry... I've never been good in this particular field. @ganeshie8 do you think you can help?