Transversals of Parallel Lines Worksheet
Grade 8 Math worksheet on identifying and calculating angles formed by transversals intersecting parallel lines.
Includes
Standards
Topics
Transversals of Parallel Lines
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Read each question carefully and answer to the best of your ability. Show all your work for calculation questions.
1. Which pair of angles are congruent when two parallel lines are cut by a transversal?
Consecutive interior angles
Same-side interior angles
Alternate interior angles
Vertical angles (only if transversal is perpendicular)
2. If angle 1 and angle 8 are alternate exterior angles, what is their relationship?
They are supplementary.
They are complementary.
They are congruent.
They are adjacent.
3. A line that intersects two or more lines is called a .
4. When two parallel lines are cut by a transversal, corresponding angles are .
5. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal. If angle 1 measures 110°, find the measure of angle 5.
6. Alternate exterior angles are always supplementary.
True
False
7. If two lines are cut by a transversal and the consecutive interior angles are supplementary, then the lines are parallel.
True
False
8. Lines 'm' and 'n' are parallel. A transversal 'p' intersects them. If an interior angle on one side of the transversal measures (2x + 10)° and its corresponding exterior angle measures (3x - 20)°, find the value of x.
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