SOLUTION: Given: C is on the perpendicular bisector of segment AB Prove: Prove that triangle ADC is congruent to triangle BDC C /|\

Question 204307: Given: C is on the perpendicular bisector of segment AB
Prove: Prove that triangle ADC is congruent to triangle BDC
C
/|\
/ | \
/ | \
A/___|___\B
D
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Assuming D is intersection of perpendicular bisector to AB
.
CD is Perpendicular Bisector of AB,,,,,,,,,given
.
AD = BD,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,def of perp bisector
.
CD=CD,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,same line,,transitivity
.
angle ADC =angle BDC,,,,,,,,,,,,,,,,,,,,,,,,,,def perpendicular
.
triangle ADC congruent to triangle BDC,,,,,,S A S
.

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