Parallel Lines & Transversals Worksheets

When parallel lines are cut, or intersected by a transversal, lots of interesting geometric things occur.  One thing that my students like is that transversals make it really simple to find the measures of all of the involved angles.

We start our study of parallel lines and transversals, by simply identifying the different types of angles that are formed.  In the first worksheet you will identify corresponding angles (angles in the same spot at each intersection), vertical angles (back-to-back), alternate interior angles ( inside angles in alternate spots), and alternate exterior angles (outside angles in alternate spots).

Eventually, you will utilize your knowledge of the angles formed by parallel lines and transversals to set up and solve equations for missing angles.  By the time you’re done, you will be a geometry and algebra expert!

 

Identifying Angles Formed by Parallel Lines & Transverals Worksheet 1 - This angle worksheet features 6 different problems where parallel lines are intersected by a transveral.  You will identify all of the angles formed by this intersection as corresponding angles, vertical angles, alternate interior angles, or alternate exterior angles.

Identifying Angles Worksheet 1 RTF
Identifying Angles Worksheet 1 PDF
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Measuring Angles Formed by Parallel Lines & Transverals Worksheet 2 - This angle worksheet features 8 different problems where parallel lines are intersected by a transveral.  You will be given the measure of one of the angles in each problem, then use your knowledge of parallel lines and transversals to find measurements of the remaining angles.

Measuring Angles Worksheet 2 RTF
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Measuring Angles Formed by Parallel Lines & Transverals Worksheet 3 - This angle worksheet features 6 different exercises where parallel lines are intersected by a transveral.  You will encounter vertical angles, alternate angles, and corresponding angles as you look at angles represented by expressions like 4x and 2x + 10.  You will use these expressions to solve for x and calculate the measure of the each missing angle.

Measuring Angles Worksheet 3 RTF
Measuring Angles Worksheet 3 PDF
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Measuring Angles Formed by Parallel Lines & Transverals Worksheet 4 - Here’s some more practice with finding the measure of missing angles.  This worksheet is very similar to the previous “Measuring Angles” worksheet.  I figured that you might need more practice setting up and solving equations to find the missing angles.

Measuring Angles Worksheet 4 RTF
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Measuring Angles Formed by Parallel Lines & Transverals Worksheet 5 - This angle worksheet features 8 different problems where you’ll look at angles that are complementary, rather than congruent.  These consecutive angles are still represented by algebraic expressions.  I would suggest that you set up equations and solve for x.  After that, plug the value for x back into the expression to find the measure of each missing angle.

Measuring Angles Worksheet 5 RTF
Measuring Angles Worksheet 5 PDF
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Measuring Angles Formed by Parallel Lines & Transverals Worksheet 6 - This angle worksheet features 8 different problems where parallel lines are intersected by a transveral.  These angles are a mix of congruent and supplementary angles represented by algebraic expressions.  You should do just fine.

Measuring Angles Worksheet 6 RTF
Measuring Angles Worksheet 6 PDF
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