Parallel, Perpendicular Lines and Angles

If the labeled angles are congruent, what proves that line a is parallel to line b?

• Alternate Interior Angles Converse

• Corresponding Angles Converse

• Alternate Exterior Angles Converse

• Same-Side Interior Angles Converse

Name the relationship between ∠2 and ∠7.

• corresponding angles

• alternate interior angles

• alternate exterior angles

• vertical angles

Find m∠SVW

• 84°

• 116°

• 74°

• 104°

In this figure, angle 1 = 135 degrees
Which of these statements is enough to prove that lines m and n are parallel?

• angle 2 = 45 degrees

• angle 3 = 135 degrees

• angle 8 = 135 degrees

• angle 5 = 135 degrees

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

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 you know that angle 1 ≅ angle 7, 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