This geometry parallel lines proofs quiz asks 10 multiple-choice questions on parallel lines, transversals and proofs, and each answer comes with a short explanation.
This 10-question quiz checks angle pairs formed by a transversal, parallel line theorems, their converses and the perpendicular bisector theorem. Pick the one best answer for each question.
GeometryCommon Core: G-CO.C.9
🎯 Parallel Lines, Transversals and Proofs – Geometry math quiz
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Question 1
Lines a and b are parallel and angle 1 measures \(132^{\circ}\). What is the measure of angle 5?Find angle 5.
A\(48^{\circ}\)
B\(42^{\circ}\)
C\(138^{\circ}\)
D\(132^{\circ}\)
Question 2
Lines a and b are parallel. Which pair of angles is a pair of alternate interior angles?Use the numbered angles.
A\(\angle 3\) and \(\angle 5\)
B\(\angle 2\) and \(\angle 6\)
C\(\angle 1\) and \(\angle 8\)
D\(\angle 4\) and \(\angle 5\)
Question 3
Two parallel lines are cut by a transversal. One same-side interior angle measures \(74^{\circ}\). What does the other measure?
A\(106^{\circ}\)
B\(74^{\circ}\)
C\(16^{\circ}\)
D\(286^{\circ}\)
Question 4
Corresponding angles measure \((2x+10)^{\circ}\) and \((3x-5)^{\circ}\). For what value of \(x\) are the lines parallel?
A\(x=5\)
B\(x=35\)
C\(x=15\)
D\(x=25\)
Question 5
Two lines are cut by a transversal. Which pair of same-side interior angles proves the lines are parallel?
A\(115^{\circ}\) and \(115^{\circ}\)
B\(115^{\circ}\) and \(75^{\circ}\)
C\(115^{\circ}\) and \(65^{\circ}\)
D\(65^{\circ}\) and \(65^{\circ}\)
Question 6
Line l is the perpendicular bisector of segment AB, and P is on l. What is PB?PA = 17.
A15
B17
C34
D8.5
Question 7
Segment AB has endpoints A(2, 1) and B(2, 9). Which point lies on the perpendicular bisector of AB?The perpendicular bisector of a vertical segment is horizontal.
A(-1, 5)
B(5, -1)
C(5, 9)
D(2, 3)
Question 8
The step "Angles 2 and 6 are equal, so line a is parallel to line b" is justified by which reason?
ACorresponding Angles Theorem
BCorresponding Angles Converse
CVertical Angles Theorem
DAlternate Interior Angles Theorem
Question 9
Lines a and b are parallel. What is the measure of each marked angle?Angles 3 and 6 are marked.
A\(85^{\circ}\)
B\(35^{\circ}\)
C\(95^{\circ}\)
D\(170^{\circ}\)
Question 10
Parallel lines are cut by a transversal. Same-side interior angles measure \((x+30)^{\circ}\) and \((2x+60)^{\circ}\). What is the larger angle?
A\(60^{\circ}\)
B\(90^{\circ}\)
C\(150^{\circ}\)
D\(120^{\circ}\)
🎉 Quiz complete!
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How does this quiz work?
Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.
What should you review before the quiz?
Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.
Remember:
Standard G-CO.C.9 covers proving theorems about lines and angles, including parallel lines and perpendicular bisectors.
Parallel lines cut by a transversal: corresponding angles and alternate interior angles are equal.
Same-side interior angles between parallel lines are supplementary (sum 180 degrees).
Converses: equal corresponding or alternate angles, or supplementary same-side interior angles, prove two lines parallel.
A point is on the perpendicular bisector of a segment exactly when it is equidistant from the endpoints.
How to use this geometry parallel lines proofs quiz
Retake this geometry parallel lines proofs quiz until every answer is right, then move on to the worksheet and the test.
