Parallel Lines and Transversals Study Guide

Angle Q and B are...

• Alternate Interior Angles

• Consecutive Interior Angles

• Corresponding Angles

• Alternate Exterior Angles

Angle C and P are...

• Alternate Interior Angles

• Consecutive Interior Angles

• Corresponding Angles

• Alternate Exterior Angles

Angle C and P are...

• Supplementary

• Congruent

Angle R and C are...

• Alternate Interior Angles

• Consecutive Interior Angles

• Corresponding Angles

• Alternate Exterior Angles

Lines A and B are...

• Perpendicular

• Parallel

If line a is parallel to line b, then which statement is best matches the angles?

• 8x - 17 + 5x +19 = 180 because "if ll lines, then consecutive interior angles are supplementary".

• 8x - 17 = 5x + 19 because "if ll lines, then alternate interior angles are equal".

• 8x - 17 = 5x +19 because "if ll lines, then corresponding angles are equal".

Which of the following geometric statements justifies ∠RVM and ∠HMV are Congruent?

• If two parallel lines are intersected by a transversal, then consecutive exterior angles are complementary.

• If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.

• If two parallel lines are intersected by a transversal, then alternate exterior angles are congruent.

• If two parallel lines are intersected by a transversal, then corresponding angles are complementary.

Def of Supplementary Angles

• Def of Supplementary Angles

• Def of Linear Pair

• Linear Pair Postulate

• Congruent Supplements Thm

If it is given that the indicated lines are parallel and that segment SF bisects ∠TSE, select ALL correct statements that could be used.

• ∠1 ≅ ∠5 by the corresponding angles postulate

• ∠2 ≅ ∠4 by the alternate interior angles theorem

• ∠1 ≅ ∠2 by the definition of an angle bisector

• ∠3 and ∠5 are supplementary by the consecutive interior angles theorem

Which of the following statements are true about the given set of parallel lines cut by a transversal?