Parallel Lines Cut by Transversal Proof

What is the value of x?

• 22

• 26

• 24

• 23

Alternate Exterior Angles Theorem

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are congruent.

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are supplementary.

• If alternate exterior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If alternate exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.

In the drawing, line l || m. What is true of angles 1 and 2 and why?

• They are supplementary by same side interior angles theorem.

• They are congruent by alternate interior angles theorem

• They are congruent by alternate exterior angles theorem.

• They are congruent by corresponding angles theorem.

Complete the proof of the following.

2. Statement : ________ ; Reason: VAT

• Given

• ∠2 ≅ ∠3

• ∠3 ≅ ∠7

• ∠3 ≅ ∠5

If m || n and l is a transversal. Which of the following are corresponding angles?

• ∠3 and ∠6, ∠4 and ∠5

• ∠1 and ∠5, ∠2 and ∠6

• ∠3 and ∠5, ∠4 and ∠6

• ∠1 and ∠8, ∠2 and ∠7

State the angle relationship and find the measure of angle 1

• Alternate Interior
  37

• Alternate Interior
  143

• Corresponding
  143

• Corresponding
  37

If m is parallel to n and l is a transversal, which of the following relationship is true?

• ∠5 and ∠7 are complementary

• ∠3 and ∠5 are supplementary

In figure 5, find the value of b that makes x || y.

• 25

• 35

• 45

• 55

Complete the proof of the following. 2. Statement : ∠1≅ ∠5 ; Reason: ______

• Supplement Postulate

• Transitive

• Symmetric

• SSAIS

Name a pair of same side exterior angles (consecutive exterior angles).

• angle 1 & angle 2

• angle 2 & angle 7

• angle 1 & angle 7

• angle 2 & angle 8