Parallel Line Cut by Transversal Proof

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

Complete the proof of the following.

2. Statement : ________ ; Reason: VAT

• Given

• ∠2 ≅ ∠3

• ∠3 ≅ ∠7

• ∠3 ≅ ∠5

What is the value of x?

• 45

• 54

• 126

• 135

If m∠1 = 80, what is the measure of ∠7?

• 10

• 80

• 100

• 185

If m∠1 = 30°, then m∠3 = 

• 30°

• 60°

• 150°

• undetermined

What do you call a line that intersects two or more other coplanar lines at two or more distinct points.?

• horizontal

• intersecting

• transversal

• vertical

State the angle relationship and find the measure of angle 1

• Alternate Interior
  37

• Alternate Interior
  143

• Corresponding
  143

• Corresponding
  37

Name the angle relationship.

• Alternate Interior

• Alternate Exterior

• Corresponding

• Vertical Angles

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.