Question

How do I proof an angle? Please explain. I do not want answers, just someone to help explain how to do this
1. ∆ABC is intersected by line DE
2. DE ∥BC
3. ∠ABC ≅ ∠ADE
4. ∠ACB ≅ ∠AED
5. ∆ABC ~ ∆ADE
6. AD/AB= AE/AC

Answer 1

the angle is ABC and is divided by DE. DE is parallel to BC (BC is the bottom line of the triangle, A is the top)
A
..
... ..
.. ..
D .. ...................................E
.. ...
.. ..
B.............................................................C.

Answer 2

i think 3 or 1 they look right

Answer 3

i think wbu?

Answer 4

they're all steps, i have to anser each one with the triangle

Answer 5

still need help @Evan758 ?

Answer 6

I might be able to help, just want to know what this ≅ and ~ mean?

Answer 7

@Disco619
≅ means congruent to
and ~ means similar

Answer 8

And what exactly is the question? We need to tell what statements from 1-6 are correct?

Answer 9

o, you need to give the reasons for why they are correct. I can do help, but I don't know if @Evan758 still needs help,....

Answer 10

I do

Answer 11

Okay, so is there a pic to go with this, and are any of the statements given info?

Answer 12

I just need help learning how to proof a triangle since it is causes me to fail the class. I have a C/B in all other parts of Geometry but I am failing very bad on this

Answer 13

the triangle i drew is shaped like theirs, pictures don't work for me unfortunately.

Answer 14

this is what I came up with
1. ∆ABC is intersected by line DE 1. Given
2. DE ∥BC 2. Given
3. ∠ABC ≅ ∠ADE 3. AA Similarity Postulates
4. ∠ACB ≅ ∠AED 4. Alternate Interior Angles
5. ∆ABC ~ ∆ADE 5. Alternate Interior Angles
6. AD/AB= AE/AC 6. Subtraction Property of Equality

Answer 15

okay, so..... like this?

Answer 16

yes

Answer 17

There made it easier...