Display Title
Math Clip Art: Parallel Lines Cut by a Transversal 2
Display Title
Math Clip Art: Parallel Lines Cut by a Transversal 2
This collection of clip art images show the various angles formed by two parallel lines cut by a transversal. This includes alternate interior angles, alternate exterior angles, corresponding angles, vertical angles, supplementary angles, same side interior angles, and same side exterior angles. All transversal lines and angles are clearly marked and can be used in a presentation on the properties of parallel lines cut by a transversal.
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The next section provides background information on parallel lines cut by a transversal.
Parallel Lines Cut by a Transversal
Parallel lines are on the same plane and do not intersect. Here are two lines, L and M, that are on plane P and parallel.
Parallel lines are are always the same distance from each other. In this illustration the dashed segment indicates the distance between the two lines. That distance doesn't change.
A line that intersects the parallel lines is called a transversal. In the illustration below you can see transveral N that insersects lines L and M.
When parallel lines are cut by a transversal, there are number of set of angles whose properties are important to remember. The categories of angles include:
 Alternate interior angles
 Alternate exterior angles
 Same side interior angles
 Same side exterior angles
 Supplementary angles
 Vertical angles
Let's start with the alternate interior angles, which are shown here. There are two sets of alternate interior angles. These pairs of angles are congruent. The word "alternate" means "opposite" In each case the one angle is on the opposite side of the transversal from the other angle.
The next set of angles are called alternate exterior angles. There are two sets. Each set of angles is congruent. Each angle is on one side of the transversal from the other angle it is congruent to.
The next set of angles are called corresponding angles. There are four sets. Each set of angles is congruent. Each set of angles is on the same side of the transversal.
The next set of angles are called vertical angles. There are two sets. Each set of angles is congruent. (By definition all vertical angles are congruent.) Each angle is on on the opposite side of the transversal from the other angle it is congruent to.
The next set of angles are called vertical angles. There are two sets. Each set of angles is congruent. (By definition all vertical angles are congruent.) Each angle is on on the opposite side of the transversal from the other angle it is congruent to.
The next set of angles are supplementary angles. There are eight sets. By definition the supplementary angles add up to 180°. Some pairs of supplementary angles are on opposite sides of the transversal and some are on the same side.
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Common Core Standards  CCSS.MATH.PRACTICE.MP5, CCSS.MATH.PRACTICE.MP4, CCSS.MATH.CONTENT.4.G.A.2, CCSS.MATH.CONTENT.8.G.A.5 

Grade Range  4  8 
Curriculum Nodes 
Geometry • Points and Lines • Parallel Lines 
Copyright Year  2014 
Keywords  Parallel Lines Cut by a Transversal, parallel lines, transversal, vertical angles, supplementary angles, alternate interior angles, alternate exterior angles 