Question

The figure below shows a transversal t which intersects the parallel lines PQ and RS:

Write a paragraph to prove that the measure of angle 3 is equal to the measure of angle 5.

Answer 1

@Directrix

Answer 2

Do you already know the Corresponding Angles Postulate? This is a proof of the Alternate Interior Angle Theorem?

Answer 3

Look in the text and see which type of angles associated with parallel lines cut by a transversal were taken to be congruent by a postulate. Without that, this proof can't be done.

Answer 4

I don't understand...

Answer 5

Look, this person had the same question.

http://openstudy.com/updates/4ffc22b8e4b00c7a70c4d185

Answer 6

Look in the back of your Geometry book and find the list of postulates. Look for one about corresponding angles of parallel lines.

Differnt books use different kinds of angles for the postulate. We need to know what your class did.

Answer 7

I'm on it...

Answer 8

I can't find it :/

Answer 9

Look in the book at the beginning of the chapter or section on parallel lines. It may be there.

Answer 10

@ZnappyDooZ

Answer 11

Alright, though, what should I write for the answer?

Answer 12

@Directrix

Answer 13

Hey, you wanna leave this of for last?
I got a few more that might be easier :P

Answer 14

The paragraph proof is what I posted assuming that your text takes corresponding angles as a postulate.

Answer 15

Oh i see, so you think I should write what you wrote above?

Answer 16

You could write something like that.

Answer 17

Is this good?

Answer 18

When the lines PQ and RS are cut by the transversal t. the < 3 ≅ < 7 by the Corresponding Angles Postulate. <7 ≅ <5 because vertical angles are congruent. Therefore, <3≅<5 by the Transitive Property of Congruence. By definition of congruent angles, m<3 = m<5.

Answer 19

That sounds good.