Proving Properties of Parallel Lines Cut by a Transversal

Given: u ∥ v

What do you call the line 𝑤?

• Bisector

• Side

• Base

• Transversal

Given: 𝒖 ∥ 𝒗

∠1 𝑎𝑛𝑑 ∠8 called _________.

• Vertical angles

• Alternate exterior angles

• Corresponding angles

• Alternate interior angles

Given: 𝒖 ∥ 𝒗

∠6 𝑎𝑛𝑑 ∠2 are called _________.

• Vertical angles

• Alternate exterior angles

• Corresponding angles

• Alternate interior angles

If the 𝑚∠1 = 40°, what is the measure of ∠7?

• 40°

• 130°

• 50°

• 140°

Which pair of angles are supplementary?

• ∠1 𝑎𝑛𝑑 ∠4

• ∠4 𝑎𝑛𝑑 ∠8

• ∠3 𝑎𝑛𝑑 ∠5

• ∠6 𝑎𝑛𝑑 ∠7

Which of the following statements is ALWAYS TRUE when parallel lines are cut by a transversal?

• Corresponding angles are congruent.

• The vertical angles are always acute.

• The sum of the measures of alternate interior angles is 180°.

• Interior angles on the same side of the transversal are congruent.

Given two parallel lines cut by a transversal, then a pair of alternate interior angles are ____________.

• complementary

• parallel

• congruent

• perpendicular

Alternate interior angles are congruent.

• TRUE

• FALSE

interior angles on the same side of the transversal are supplementary

• FALSE

• TRUE

exterior angles on the same side of the transversal form a linear pair.

• TRUE

• FALSE