Test Reviewer Day 2: Parallel Lines and Transversals

Use the picture on the left to answer the question.

If ∠PHG ≅ ∠MGH then RP ∥ MS because of the ____________.

• A. converse of the alternate interior angles theorem

• B. converse of the consecutive interior angles theorem

• C. converse of the corresponding angles postulate

• D. no conclusion can be made

If ∠RHG and ∠MGH are supplementary then RP ∥ MS because of the ____________.

• A. converse of the alternate interior angle theorem

• B. converse of the consecutive interior angles theorem

• C. converse of the corresponding angles postulate

• D. no conclusion can be made

Based on the diagram above and the given information, what is the m∠WPN?

• A. 18

• B. 72

• C. 90

• D. 108

Which of the following geometric statements justifies ∠BMV and ∠WPN are Congruent?

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

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

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

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

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

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

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

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

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

Using the diagram, what is m∠CWB?

• A. 29°

• B. 42°

• C. 138°

• D. 151°

Read the question in the picture.

What is the value of y?

• A. 3

• B. 8.2

• C. 9.7

• D. 10.5

Complete the proof in the picture.

STATEMENT 2: What is the relationship of ∠HXW and ∠LYF?

• Given

• Transitive Property

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

• If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel

Complete the proof in the picture.

STATEMENT 5: What is the best statement to show that RF and KG are parallel?

• Given

• Transitive Property

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

• If two lines and a transversal form corresponding angles that are congruent, then the lines are parallel

Select all of the statements that are true based on the given information from the picture.

• A. m∠CBD = m∠JHK

• B. 3x + 11 + 2x + 9 = 90°

• C. 11x - 27 + 2x + 9 = 180°

• D. m∠CBD + m∠JHI = 180°

• E. 11x - 27 + 3x + 11 + 2x + 9 = 180°