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 ___
is congruent to by _
∆BAD is congruent to ∆BCD by the Angle-Side-Angle (ASA) Postulate.
is congruent to because congruent parts of congruent triangles are congruent (CPCTC).
Consequently, ∆ABC is isosceles by

Question

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 ___ 
 is congruent to  by _ 
∆BAD is congruent to ∆BCD by the Angle-Side-Angle (ASA) Postulate. 
 is congruent to  because congruent parts of congruent triangles are congruent (CPCTC). 
Consequently, ∆ABC is isosceles by