Proving Lines Parallel Exit Ticket

Corresponding angles need to be ___________________ to prove two lines are parallel.

• Equal

• Supplementary

• Complementary

How do you prove lines a and b are parallel?

• The two angles are equal, so because the consecutive interior angles are equal. The lines are parallel.

• The two angles are equal, so because the alternate exterior angles are equal. The lines are parallel.

• The two angles are equal, so because the corresponding angles are equal. The lines are parallel.

• The two angles are equal, so because the alternate interior angles are equal. The lines are parallel.

These two consecutive interior angles are given. How do I prove lines to be parallel with consecutive interior angles? The consecutive interior angles need to be ____________.

• Supplementary

• Equal

• Complementary

Are these lines parallel?

• Yes, because these two consecutive interior angles when added together equal 180.

• No, because these two corresponding angles are not equal.

• Yes, because these two corresponding angles are equal.

• No, because these two consecutive interior angles when added together equal 170. They are not supplementary.

These are consecutive interior angles. So they need to be supplementary. That means <little + <little = <big. How should I set up this equation?

• 2x + 6 = 130

• (2x + 6) + 130 = 180

• (2x + 6) + 130 = 90

• 2x + 6 - 130 = 180

These are consecutive interior angles. So they need to be supplementary to prove the lines are parallel. (2x + 6) + 130 = 180. What's the correct first step.

• Add the 6 and the 130 together

• Minus 2x on both sides

These are consecutive interior angles. So they need to be supplementary to prove the lines are parallel. 2x + 136 = 180. What's the correct second step.

• subtract 180 on both sides

• subtract 136 on both sides

These are consecutive interior angles. So they need to be supplementary to prove the lines are parallel. 2x = 44. What's the correct second step?

• Divide by 2 both on both sides. x = 22

• Subtract by 44 on both sides

So x is 22. What explanation proves lines are parallel.

• When you plug in x, your angle becomes 50. So because 50 + 130 = 180. These are supplementary. And because of the consecutive interior angle postulate, we proved the lines are parallel.

• When you plug in x, your angle becomes 130 and because 130 is equal to 130. We proved the lines are parallel.

These are corresponding angles. When corresponding angles are equal, it proves that lines are parallel.

• True

• False, they have to be supplementary.