Question

Prove that the sides opposite the congruent base angles of a triangle are congruent. Be sure to create and name the appropriate geometric figures.

Answer 1

I don't even know how to start to answer this.

Answer 2

@robtobey @e.mccormick @phi
Please help?

Answer 3

draw a triangle. make sure its "base angles" are congruent

Answer 4

We can re-state the problem as:
given a triangle with equal base angles, prove the sides opposite the base angles are congruent.

Answer 5

So is this it?
Segment AB is equal and congruent to segment AC. Segment AD bisects BC. That is the given.
D is the midpoint of segment BC by defenition of a biscector.
Segment BD is equal and congruent to segment DC by defenition of a midpoint.
Segment AD is is equal and congruent to segment AD because of the Reflexive property.
Triangle ABD is equal and congruent to triangle ACD by SSS.

Answer 6

First, you have to label the vertices so we know what you are talking about.

But the only thing that is given is that the base angles are congruent. i.e. they do not tell us any sides or segments are congruent. That makes the very first statement incorrect.

so no, I would not use that choice.

Answer 7

Oh. So how do I solve it? (And I have to write it out, it is not multiple choice.)

Answer 8

what ways have you learned to show two triangles are congruent ?

Answer 9

I know about SSS, SAS, ASA, and AAS.

Answer 10

ooh, AAS looks good.

drop a perpendicular to form a right angle (we know we are allowed to do this)