Transversal and Parallel Lines Problems
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More Lessons for Grade 8
Math Worksheets
Examples, solutions, videos, worksheets, stories, and songs to help Grade 8 students learn about transversal and parallel lines problems.
What are parallel lines?
Two lines are parallel if they lie in the same plane (they are coplanar) and never intersect, no matter how far they are extended in either direction. They remain the same distance apart at all points.
In diagrams, parallel lines are typically indicated by small arrows placed on the lines themselves.
What is a Transversal?
A transversal is any line that intersects two other lines in the same plane.
The following diagrams show examples of transversals intersecting two parallel lines and forming corresponding angles, and alternate interior angles. Scroll down the page for more examples and solutions on transversals and congruent angles.
Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Geometry Worksheets
When two parallel lines are intersected by a transversal line (a line that cuts across them), several special angle relationships are formed:
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Corresponding Angles: These angles are in the “same position” at each intersection. If the lines are parallel, corresponding angles are equal (congruent).
F-Shape: A visual trick to identify alternate interior angles is to look for a “F” shape (or a backward “F”) formed by the lines and the transversal. -
Alternate Interior Angles: These angles are on opposite sides of the transversal and between the parallel lines. If the lines are parallel, alternate interior angles are equal (congruent).
Z-Shape: A visual trick to identify alternate interior angles is to look for a “Z” shape (or a backward “Z”) formed by the lines and the transversal. The angles in the “corners” of the “Z” are alternate int -
Consecutive Interior Angles (Same-Side Interior Angles) are Supplementary: Angles between the parallel lines and on the same side of the transversal add up to 180°. (Think of a “C” shape)
Parallel Lines and Transversals
Describe the 8 angles created when a transversal crosses parallel lines and the relationship between those angles
Solving problems involving parallel lines cut by a transversal
Angles formed by Parallel Lines and Transversals
How to use Properties of Vertical Angles, Corresponding Angles, Interior Angles of a Triangle, and Supplementary Angles to find all the angles in a diagram. Other Properties discussed include Alternate Interior Angles, Alternate Exterior Angles, Complementary Angles.
Find an Angle When There are Pairs of Parallel Lines
Two parallel lines cut by a transversal
Given one angle measure, find the other seven.
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