Question

Picture Below!
Given: Isosceles Triangle ABC with AD = AB
Prove: Triangle BDA ~ Triangle ABC

Answer 1

I'm guessing the ~ means similar.
Anyway I can't see how the 2 triangles can be similar.

Answer 2

The thing with the proof it's not like by seeing is by knowing the facts. I'm trying to see if theres something that goes with this.

Answer 3

In order to be similar, the angles of each triangle must equal the angles of the other.
I can't see how they equal each other.

Answer 4

Soo what we know is that angle A and B are =
and that AD ='s AB

Answer 5

If a line divides two sides of a triangle proportionally, then it is parallel to the third side

Answer 6

Specifically angle DAB = angle B

Answer 7

Well. DAB + CAD right?

Answer 8

Where is the line that divides two sides of the triangle.

and by DAB + CAD do you mean DAB = CAD?

Answer 9

DAB alone cant = angle B

Answer 10

Is there any additional information about this problem?

Answer 11

No, but In a step we may need to draw something

Answer 12

It says we are given isosceles triangle ABC and that AD = AB.
That is not expressed properly.

Answer 13

Don't look at the picture to what's given, I didn't draw it perfectly lol. AD = AB

Answer 14

"If a line divides two sides of a triangle proportionally, then it is parallel to the third side"
means:

Answer 15

So it is definite that angle CAD = angle DAB?

Answer 16

No, but If AD and AB are equal, that creates another Isosceles ?

Answer 17

Thats the picture the book gives for "if a line divides two sides of a triangle proportionally, then it is parallel to the third