Parallel Lines Cut by a 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

-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

-Angles that lie outside a pair of lines (exterior) and on opposite sides of a transversal (alternate.)

-CONGRUENT when lines are parallel

• Same Side Exterior Angles

• Corresponding Angles

• Linear Pair

• Alternate Exterior Angles

-Angles Between the lines (interior) and on the same side of the transversal.

-SUPPLEMENTARY when lines are parallel

• Supplementary Angles

• Same Side Interior Angles

• Linear Pair

• Vertical Angles

-Lines that Never Intersect

• Adjacent Angles

• Corresponding Angles

• Same-Side Interior Angles

• Parallel Lines

two angles that share a common vertex and side, but have no common interior points (don't overlap.)

• Opposite Angles

• Adjacent Angles

• Linear Pair

• Transversal

• True

• False