- Thread starter
- #1

it's triangle ABC bisected by line BD

Given line BD is the perpendicular bisector of line AC, Prove line BD bisects angle ABC

I got

Step 1

Line BD is the perpendicular bisector of line AC

Reason:

Given

Step 2

Line D is the midpoint of line AC

Reason:

Definition of a perpendicular bisector

Step 3

Line segment AD and line segment CD are congruent

Reason:

Definition of midpoint

Step 4

Line BD is perpendicular to line AC

Reason:

Definition of a perpendicular bisector.

Step 5

Angle ADB and CDB are right angles

Reason:

Because they are on perpendicular lines

Step 6

Angle ADB and CDB are congruent

Reason:

Right angles are always congruent

Step 7

Line BD is congruent to itself

Reason:

Reflexive property

Step 8

Line BD bisects angle ABC

Reason:

A bisector is a line which runs through the vertex of an angle and divides the angle into two congruent angles

the feedback that I got back was "The proof is easy to follow and contains many logical steps and reasons. Revision of the last step and reasoning is needed to provide a sound logical conclusion. Congruence of triangles is mentioned but has not been clearly established."

Is anyone able to explain to me where I messed up with this? I thought I did it correctly, and I'm racking my brain here!