Parallel Lines Transversal Angles Quiz – Geometry (10 Questions)

Last updated: October 22, 2026 · Written by the Math Made Easy math teachers

Standards: G-CO.C.9 · Level: Grade 10 Geometry

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What this Parallel Lines Cut by a Transversal quiz checks

• A transversal crossing two parallel lines creates only two different angle measures.
• Corresponding, alternate interior and alternate exterior angles are congruent when lines are parallel.
• Same-side interior angles are supplementary when lines are parallel.
• Converse: matching angle relationships prove that the lines are parallel.
• Points on a perpendicular bisector are equidistant from the segment's endpoints.

The 10 questions of the quiz

1. In the figure, which relationship do ∠3 and ∠6 have?
2. Parallel lines are cut by a transversal. One of two corresponding angles measures 84°. What does the other measure?
3. A transversal crosses two parallel lines, and one interior angle measures 123°. How large is the interior angle next to it on the same side of the transversal?
4. Which fact proves that two lines cut by a transversal are parallel?
5. Alternate exterior angles measure (3x + 14)° and (5x − 6)° for parallel lines. What is x?
6. Point P is on the perpendicular bisector of AB and PA = 23. What is PB?
7. Two parallel lines are cut by a transversal. What is the sum of two same-side interior angles?
8. A transversal makes alternate interior angles of 58° and 61°. What follows?
9. The lines are parallel and ∠1 = 118°. Which angle must also measure 118°?
10. A point is equidistant from the endpoints of segment AB. Where must the point lie?

After the quiz

Missed a question? Reread the Parallel Lines Cut by a Transversal lesson, then take the quiz again. Next, solve the Geometry worksheet on Parallel Lines Cut by a Transversal, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.