Question

Use a paragraph proof to prove the alternate interior angles theorem.

Given: segment A B is parallel to segment C D.

Prove: Alternate interior angles are congruent

Answer 1

can any one please help me

Answer 2

its an axiom. we can use it to prove other properties. but we cannot prove an axiom.

you can try proving it using corresponding angles theorem.

Answer 3

I did already, that was the other question. lol

Answer 4

good :)
for the proof, you have used corresponding angles axiom and vertically opposite angles theorem ?

Answer 5

yes i think so

Answer 6

great... u still need help in proof ?

Answer 7

Yes, can you give me an example of the proof ?

Answer 8

wait so there, is no answer for this it is a axiom ?

Answer 9

@ganeshie8

Answer 10

Given: segment A B is parallel to segment C D.
Prove: Alternate interior angles are congruent

\(\angle2 \textbf{ and } \angle6 \textbf{ are corresponding angles. they are congruent.}\)
\(\angle2 \textbf{ and } \angle4 \textbf{ are vertically opposite angles. they are congruent.}\)
\(\angle4 \textbf{ is congruent to } \angle6 \textbf{ by transitive property of equality}\)

Answer 11

above is your proof.

yes, axioms we cannot prove. but we can prove this if we dont consider it as an axiom, and consider "corresponding angles property" as an axiom !!

Answer 12

ohhhhhh lo -_-
thank you!!!

Answer 13

yw ^_^