# Parallel Lines and Transversals

When it comes to teaching your students about Parallel Lines and Transversals its all about the visuals! Here are our Top 3 Favorite YouTube videos to assist in teaching this very lengthy lesson.

## 1.) Start with the Basics when Teaching Parallel Lines and Transversals

Before you can ever go into the details of the types of angles created by parallel lines and transversals you must make sure they have a clear understanding of the differences between the two. This is a very cheesy video that will ensure they never forget the difference between these two vocabulary words.

## 2.) Real World Uses of Parallel Lines and Transversals

Very short video clip with a couple of real world uses of parallel lines and transversals. You’ll want to bookmark the site Shmoop.com they have many useful resources for teachers.

## 3.) Finally the meat of the more advanced topics

Khan Academy video series that goes into the different types of angles formed by parallel lines and transversals. This is an excellent teaching resource.

## PDFs

3-2 Guided Notes Teacher Edition (Members Only)

3-2 Lesson Plan (Members Only)

3-2 Video Lesson (Members Only)

3-2 Online Activities (Members Only)

## Parallel Lines Cut by a Transversal Worksheet Doc & PowerPoint

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## Common Core Standards Parallel Lines Cut by a Transversal

CCSS.MATH.CONTENT.HSG.CO.C.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. CCSS.MATH.CONTENT.HSG.CO.D.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point, not on the line.

### Algebra Needed for Lesson on Parallel Lines and Transversals

(Click the links below for more FREE Resources)

## Parallel Lines Cut by a Transversal Guided Notes

Parallel lines are coplanar lines that do not intersect. The symbol ∥ means “is parallel to.”

When a line intersects two or more lines, the angles formed at the intersection points create special angle pairs.

A transversal is a line that intersects two or more coplanar lines at distinct points.

The special angle pairs formed by parallel lines and a transversal are congruent, supplementary, or both.

### Alternate Interior Angles Theorem

If a transversal intersects two parallel lines, then alternate interior angles are congruent.

### Corresponding Angles Theorem

If a transversal intersects two parallel lines, then corresponding angles are congruent.

### Same-Side Interior Angles Postulate

If a transversal intersects two parallel lines, then same-side interior angles are supplementary.

### Alternate Exterior Angles Theorem

If a transversal intersects two parallel lines, then alternate exterior angles are congruent.

#### Sample Problem 1:

Identify all the angles that are congruent to the given angle.

#### Sample Problem 2:

Identify all the angles that are supplementary to the given angle.

#### Sample Problem 3:

Find the value of x.

1. J. Kammies