Parallel Lines, Transversals and Proofs: Geometry Math Quiz – PDF Download
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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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.
