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