Angles and Parallel Lines

• Alternate Interior Angles

• Alternate Exterior Angles

• Same-side Interior Angles

• Corresponding Angles

• None of these

Given the following two parallel lines cut by a transversal. Which pair of angles represents alternate interior angles?

• True

• False

Given the following two parallel lines that have been cut by a transversal. Choose all the options that represent corresponding angles.

If you know that angle 4 + angle 5=180, how can you prove PQ||RS?

• Converse of corresponding angle theorem

• Converse of alternate interior angles theorem

• Converse of same side interior angles postulate

• Converse of alternate exterior angles theorem

If 𝘮∠𝟤=𝘹−3 and 𝘮∠𝟥=2𝘹-9, for what value of x is 𝘢 II 𝘣? 

• x=-6º

• x=6º

• x=12º

• x=3x-12

• Alternate Interior Angles Theorem

• Same-Side Exterior Angles Theorem

• Same-Side Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles

If ∠1 ≅ ∠13, determine which lines, if any, must be parallel.

• r||s

• t||u

• No lines are parallel

• r||s and t||u

In the figure, x || y.

What is the value of a?

• b + c

• 2b - c

• 180 - b + c

• 180 - b - c

If you know that angle 1 ≅ angle 5, how can you prove PQ||RS?

• Converse of corresponding angle theorem

• Corresponding angle theorem

• Vertical angle theorem

• Interior angle theorem