# Angle Relationships | Parallel Lines cut by a Transversal

## PARALLEL LINES cut by a TRANSVERSAL

The Transversal is the diagonal line that crosses a set of Parallel Lines. Do you see the arrows on the two horizonal lines? This is a visual signal that the lines are parallel. You don’t even need the label “Parallel Lines”.

## ANGLE RELATIONSHIPS

Students must understand the relationships between the angles. It is foundational knowledge that directly relates to 2-Dimensional and 3-Dimensional objects. In Florida, it is a major cluster in Geometry (MAFS.912.G-CO). In regards to Common Core (CCSS 8.G.A.5), it appears to be an 8th Grade Standard as found here, and here at Khan Academy.

Parallel Lines cut by a Transversal create two categories of angle relationships: Supplementary (angles add up to 180 degrees) and Congruent/Equal to each other.

## LINEAR PAIRS

Linear Pairs form a straight line, and are Supplementary.

## CORRESPONDING ANGLES

Corresponding Angles are angles that are in identical positions on separate parallel lines. Therefore, they are congruent and equal.

## VERTICAL ANGLES

Vertical Angles positionally are opposite of each other, and congruent or equal.

## ALTERNATE EXTERIOR and INTERIOR ANGLES

These angles are congruent or equal to each other.

## SAME SIDE EXTERIOR and INTERIOR ANGLES

These angles are Supplementary to each other.

Students often need manipulatives to better understand math, especially Geometry. I love using Patty Paper.

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What is it? It’s the square wax paper sheets that keep hamburger patties from sticking to each other. How do I use it? Stay tuned, and you’ll learn how to prove angle relationships with it.

Would you like a printable of these images? Please email me at mrs@mrandmrsmath.com.

*Mrs Math*