Question

p is parallel to q.
Which pair of angles must be congruent?

Answer 1

Congruent angles have the same angle. I know there is a rule applying to this, but I forget...

Answer 2

By definition, congruent angles have the same measure.

To know the congruent angles formed by 2 parallel lines and a transversal, you need to know the postulates and theorems.

Note: In Geometry, we do not judge angle size by looking at the angle. There must be a geometric reason for angles to be congruent.

Answer 3

Would corresponding angles fit?

Answer 4

I forgot to add the answers, my bad.
1 & 8
2 & 5
4 & 6
None of these

Answer 5

Take a look at the attached chart for the angles that are congruent as a result of parallel lines.

Answer 6

Which of the options are the alternate exterior angles? @Yoongilife

Answer 7

You took two parallel lines and cut them with another line. So corresponding and opposite angles will be congruent. Meaning, 1 and 5 are congruent, and 1 and 4 are congruent. Therefore, 4 and 5 are congruent. Now, using that information, can you find your answer?

Answer 8

1 & 8 are alternate exterior angles...

Answer 9

>>Would corresponding angles fit?

None of the options are pairs of corresponding <s. @Yoongilife

Answer 10

>> 1 & 8 are alternate exterior angles...

Correct and they are congruent because of a theorem.

Answer 11

Thank you. I appreciate the time you give in explaining. As one last favor could you possible name the theorem that makes this answer valid. I'm just curious. Thanks again!

Answer 12

If two parallel lines are cut by a transversal, then the alternate exterior angles formed are congruent.

Sometimes called "Alternate Exterior Angle Theorem"