SOLUTION: I am confused on what to draw out as triangles, since there are no pictures. Thanks in advance! Given the triangle ADC, segment BD is a perpendicular bisector of segment AC. P

Algebra ->  Triangles -> SOLUTION: I am confused on what to draw out as triangles, since there are no pictures. Thanks in advance! Given the triangle ADC, segment BD is a perpendicular bisector of segment AC. P      Log On


   



Question 1040833: I am confused on what to draw out as triangles, since there are no pictures. Thanks in advance!

Given the triangle ADC, segment BD is a perpendicular bisector of segment AC. Point B is the median of side AC. Why would triangle ABD be similar to triangle CBD?
*SAS
*CPCTC
*SSS
*AAS

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


BD is congruent to BD by Reflexive Equality

AB is congruent to BC by definition of bisector.

Angle DBA is congruent to angle DBC by definition of perpendicular.

Triangle DBA congruent to triangle DBC by SAS

John

My calculator said it, I believe it, that settles it