Parallel Lines and Transversals ⋆ GeometryCoach.com

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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.

Here are your FREE Parallel Lines and Transversals Worksheet, Guided Notes, Slide Show and More!

PDFs

3-2 Use Parallel Lines and Transversals Worksheet ( FREE )

3-2 Bell Work - Use Parallel Lines and Transversals ( FREE )

3-2 Use Parallel Lines and Transversals Quiz ( FREE )

3-2 Guided Notes SE - Use Parallel Lines and Transversals ( FREE )

3-2 Guided Notes Teacher Edition (Members Only)

3-2 Slide Show - Use Parallel Lines and Transversals ( FREE )

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

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Fun Class Activities Incorporating Parallel Lines and Transversals

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 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.