Question

http://prntscr.com/7tdjo3

Answer 1

@phi

Answer 2

@ParthKohli

Answer 3

Don't you see that abc and gfe are congruent?

Answer 4

Yes i do.

Answer 5

But with which property do i prove that with?

Answer 6

You should write out a proof for this.

Answer 7

Okay, but im not really good at this, could you walk me through it?

Answer 8

Sure review this https://www.wyzant.com/resources/lessons/math/geometry/triangles/angles_of_triangles

Answer 9

Here is what the first sentence tells us
< ABC = <DEC

Answer 10

write that statement and next to it write the reason we know it is true.
Do you know the reason?

Answer 11

No, i dont.

Answer 12

We are told it is true. the short reason is " given "

Answer 13

Oh okay.

Answer 14

so the first line of your proof should read
Statement Reason
< ABC = <DCE Given

Answer 15

Okay.

Answer 16

<DCE is not part of the triangle we are interested in
(the question asks us to prove triangle ABC is similar to triangle GEF.. which means show "corresponding angles" are equal )

However, we can deduce something about angle GEF
Any idea what ?

Answer 17

That angle GEF is similar to triangle DEC?

Answer 18

angles can only be "congruent" (or not!) to other angles.

but you should have learned about this fact:

Answer 19

if you have an "x", the angles opposite each other are congruent (equal to each other)
Notice that is also true