Parallel Lines Cut by Transversal Proof

a line that intersects two or more lines (usually parallel lines)

Hint: Line "l" in the picture

• Parallel Line

• Vertex

• Vertical Angles

• Transversal

-A logical argument that shows a statement is true.

-Step by step, ordered

-Statements are on the left, the reason those statements are true is on the right

• Conditional Statement

• Proof

• Linear Statement

• Fallacy

-Angles outside the lines (exterior) that lie on the same side of the transversal.

-SUPPLEMENTARY when lines are parallel

• Alternate Interior Angles

• Same-Side Interior Angles

• Alternate Exterior Angles

• Same-Side Exterior Angles

-Lines that Never Intersect

• Adjacent Angles

• Corresponding Angles

• Same-Side Interior Angles

• Parallel Lines

If it is given that p ∥ q, what are ALL correct statements that can be made?

• ∠1 ≅ ∠3 by the corresponding angles postulate

• ∠2 and ∠3 are supplementary by the linear pairs postulate

• ∠1 ≅ ∠2 by the alternate exterior angles theorem

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

• Corresponding Angles Converse

• Alternate Interior Angles Converse

• Alternate Exterior Angles Converse

• Interiors on Same Side Converse

• none of the above

Angles 1 and 5 prove lines parallel... true or false?

• true

• false

What is the relationship of the Angles

• Alternate Interior

• Alternate Exterior

• Corresponding

• Same Side Interior

-Angles in the same place on different lines

• Corresponding Angles

• Alternate Interior Angles

• Bisecting Angles

• Supplementary Angles

-angles between 2 lines (interior) and on opposite sides of a transversal (alternate)

-CONGRUENT when lines are parallel

• Alternate Interior Angles

• Same Side Interior Angles

• Corresponding Angles

• Vertical Angles