Question

Use a paragraph proof to prove the converse of the corresponding angles postulate.

Given: Corresponding angles are congruent

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

Answer 1

start by stating the given info

Answer 2

It is given that the corresponding angles are congruent. So `angle 2` and `angle 6` are congruent as they are corresponding angles...

See if you can expand on this

Answer 3

corresponding angles can be formed by a traversal line going through two parallel line. Segment fe goes through both AB and CD and angle 2 and 6 are congruent this proves that AB and CD are parallel

Answer 4

@ganeshie8

Answer 5

you need to justify each statement with a valid reason

Answer 6

It is given that the corresponding angles are congruent. So `angle 2` and `angle 6 `are congruent as they are corresponding angles. `angle 2` and `angle 4` are congruent as they are vertical angles. That makes `angle 4 = angle 6` by transitive property. However `angle 4` and `angle 6` are alternate interior angles. So the lines AB and CD are parallel by converse of alternate interior angles theorem.

Answer 7

if that makes more or less sense...

Answer 8

ok i just had to look up the property definitions but that way makes more sense