Two parallel lines cut by a transversal worksheet

Traverse through this array of free printable worksheets to learn the major outcomes of angles formed by parallel lines cut by a transversal. The topic mainly focuses on concepts like alternate angles, same-side angles, and corresponding angles. Equipped with free worksheets on identifying the angle relationships, finding the measures of interior and exterior angles, determining whether the given pairs of angles are supplementary or congruent, and more, this set is a must-have for your practice to thrive.

The worksheets are ideal for 8th grade and 9th grade students.

CCSS: 8.G.5

Two parallel lines cut by a transversal worksheet

Identifying Angle Relationships

This image-driven worksheet features questions on identifying the relationship between the given angles in parallel lines cut by a transversal. Analyze the position of the angles in the image and determine the relationship they exhibit with each other.

Two parallel lines cut by a transversal worksheet

Interior Angles in Parallel Lines

Interior angles are the angles that lie within the parallel lines. Explore their categories by working out the problems in this PDF worksheet.

Two parallel lines cut by a transversal worksheet

Exterior Angles in Parallel Lines

Familiarize students with identifying and finding the measures of the exterior angles formed by the transversals in this PDF worksheet.

Two parallel lines cut by a transversal worksheet

Interior and Exterior Angles in Parallel Lines

Two angles are highlighted in each figure of this printable worksheet. Identify whether they are the same-side or alternate angles, and apply appropriate properties to find the unknown angles.

Two parallel lines cut by a transversal worksheet

Corresponding Angles in Parallel Lines

Allow your skills in corresponding angles in parallel lines cut by a transversal and recognizing their positions to be exalted a rank above, with this PDF worksheet.

Two parallel lines cut by a transversal worksheet

Supplementary and Congruent Angles in Parallel Lines

If the pairs of angles are vertical, corresponding, or alternate, they are congruent. Similarly, the pairs of angles are supplementary if they are linear or consecutive. Use this information to answer the questions in parts A and B of this 8th grade worksheet.

Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Traverse through this huge assortment of transversal worksheets to acquaint 7th grade, 8th grade, and high school students with the properties of several angle pairs like the alternate angles, corresponding angles, same-side angles, etc., formed when a transversal cuts a pair of parallel lines. Our all-new resources facilitate a comprehensive practice of the two broad categories of angles: the interior and exterior angles (based on their position) and the congruent and supplementary angles (considering the properties they exhibit). Get hold of some of our worksheets for free!

Two parallel lines cut by a transversal worksheet

Identifying Interior and Exterior Angles

Familiarize students with the locations of alternate interior, alternate exterior, same-side interior, and same-side exterior angles formed by parallel lines being cut by a transversal, with this printable practice set.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Interior Angles - Finding the Unknown | Easy

These pdf worksheets offer ample practice in finding one of the angles in an interior angle pair. Determine whether the two angles are alternate or same-side, apply the apt properties, and figure out the angle.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Interior Angles - Solve for x | Moderate

The measure of one of the interior angles is represented as a linear expression. Discern if the other indicated angle is congruent or supplementary to this angle, and evaluate the expression.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Interior Angles - Solve for x | Difficult

This batch of high school exercises depicts the measures of two interior angles as linear expressions. Equate the two expressions if the angles are alternate, or equate their sum to 180° if the angles are consecutive.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Exterior Angles - Solve for x | Easy

Recapitulate alternate and same-side exterior angles and linear pairs, and implement their properties to determine the measure of the unknown angles, in this stack of 7th grade worksheets.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Exterior Angles - Solve for x | Moderate

Assess your understanding of exterior angles formed by parallel lines and transversal with these printable pdfs. Form an equation using the congruent or supplementary property that governs each angle pair, and solve it for the value of x.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Exterior Angles - Solve for x | Difficult

Included here are 20+ figures representing the measures of two angles located outside the parallel lines as linear expressions. Work out the value of 'x' in each figure, and stay a step ahead of your peers.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Interior and Exterior Angles - Solve for x | Easy

Featuring 24 problems for practice, this set of printable worksheets is the ultimate in training students to identify alternate and same-side angles, form one-step equations using their properties, and solve them.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Corresponding Angles

Let students of grade 7 and grade 8 conceive of corresponding angles as the angles in matching corners of the parallel lines cut by a transversal and learn that their measures are equal, with our printer-friendly worksheets.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Supplementary and Congruent Angles

Name the angle pairs indicated in this array of 7th grade exercises as congruent or supplementary, and use the related postulates to find the measures of a few angles at the end of each worksheet here.

  • Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

Two parallel lines cut by a transversal worksheet

What are two parallel lines cut by a transversal?

If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal. If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary, i.e. they add up to 180 degrees.

What happens if a transversal cuts 2 parallel lines?

If two parallel lines are cut by a transversal, then the corresponding angles formed are equal in measure.