Write a two column proof - given: AC is the perpendicular bisector of BD Prove: <B = <D

Answer 1

given triangle ABD

AC is the perpendicular bisector of BD given

angle ACB is a right angle definition of perpendicular

angle ACD is a right angle definition of perpendicular

BC≅CD a bisector divides a segment into two congruent segments

AC≅AC reflexive property (any segment is congruent to itself)

angle ACB≅ACD all right angles(90°) are congruent

triangle ACB≅triangle ACD SAS (side-angle-side)

angleB≅angleD corresponding parts of congruent triangles are congruent

Answer 2

A

Perpendicular is a rt angle; you know: 90, 90

B ————————— D

90, 90. Can't get a vertical line.

C

B is one end D is the other. Your coloms are horizontal and vertical.