SOLUTION: Given: Line BD is perpendicular to Line AC Segement BD bisects Line AC Prove: Triangle ABD is congruent to Triangle CBD

Question 1098687: Given: Line BD is perpendicular to Line AC
Segement BD bisects Line AC
Prove: Triangle ABD is congruent to Triangle CBD
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

Angle ADB = Angle CDB = 90 degrees (by construction, "BD is perpendicular to line AC")
Length AD = Length DC (by construction, "BD bisects AC")
Length BD = Length BD (common side)
By SAS (side-angle-side), triangle ADB is congruent to triangle CBD.

RELATED QUESTIONS
given: AC is perpendicular to BD B is the midpoint of AC Prove: triangle ABD is... (answered by Theo)

line DB bisects < ADC and line BD bisects < ABC Prove: triangle ABD is congruent to... (answered by Alan3354,Edwin McCravy)

I was given a triangle, Labeled ABC, which is bisected by line BD, to create two smaller... (answered by lynnlo,solver91311)

Given: BD is perpendicular to AC and BD bisects AC Prove: Angle ABD and angle BCD are... (answered by colliefan)

1. Given: In Triangle ABC: BD is perpendicular to AC Draw 1 conclusion from the... (answered by gonzo)

in triangle ABC,Line BD is the median to side AC, and Triangle ABD is congruent to... (answered by solver91311)

Write a two column proof. Given: line BD and line AC bisect each other. Prove:... (answered by richard1234)

Given: Triangle ABC, AD bisects (answered by asuar010)
given: parallelogram ABCD, line DE is perpendicular to line AC, line BF is perpendicular... (answered by ikleyn)