Complete the paragraph proof with missing statements and reasons which proves the opposite sides of two congruent angles in a triangle are congruent. Construct a perpendicular bisector from point B to . Label the point of intersection between this perpendicular bisector and as point D. Term 1 and m∡BDC is 90° by the definition of a perpendicular bisector. Term 2 is congruent to ∡BDC by the definition of congruent angles. Term 3 is congruent to by the definition of a perpendicular bisector. Term 4 is congruent to ∆BCD by the Angle-Side-Angle (ASA) Postulate. Consequently, is congruent to

Question

Complete the paragraph proof with missing statements and reasons which proves the opposite sides of two congruent angles in a triangle are congruent.   Construct a perpendicular bisector from point B to . Label the point of intersection between this perpendicular bisector and  as point D. Term 1 and m∡BDC is 90° by the definition of a perpendicular bisector. Term 2 is congruent to ∡BDC by the definition of congruent angles. Term 3 is congruent to  by the definition of a perpendicular bisector. Term 4 is congruent to ∆BCD by the Angle-Side-Angle (ASA) Postulate. Consequently,  is congruent to