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

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) (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

RELATED QUESTIONS
There are pictures that went with the question and I tried to copy them over but they... (answered by MathLover1)

I am trying to create a three circle Venn diagram with unions and intersections. I can... (answered by solver91311)

I have been working with 30-60-90 & 45-45-90 triangles. I have a few problems where they... (answered by richwmiller)

QUESTION: Prove that the area of a kite is equal to half the product of its diagonals. (answered by Edwin McCravy)

Prove triangle ADB is congruent to triangle ADC D is midpoint of BC Given triangle BAC... (answered by mananth)

I am having a hard time understanding what I am doing wrong. I am not good at proofs at... (answered by solver91311)

Find sin(theta) and cos(theta) given that tan(theta) = 3. Do not use a calculator. I... (answered by Edwin McCravy)

Hello, I am in Algebra 1(Integrated Algebra), as in the 9th grade class. We are doing... (answered by ankor@dixie-net.com)

Hello, We are given a triangle ABC. BC=1m,AC=6,6m and angle C=60degrees. We draw a... (answered by richwmiller)