Question

Geometry Help Please :D

Answer 1

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

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 2

you need figure ...
what's up with that text ... it scares me