This geometry foundations quiz asks 10 multiple-choice questions on points, lines, planes, segments and angles, and each answer comes with a short explanation.
Ten multiple-choice questions check definitions, segment addition, midpoints, angle addition and angle pairs (G-CO.A.1). Pick the single best answer, then read the explanation to catch common mistakes.
GeometryCommon Core: G-CO.A.1
🎯 Points, Lines, Planes, Segments and Angles – Geometry math quiz
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Question 1
Which of these is an undefined term in geometry?
ARay
BAngle
CMidpoint
DPoint
Question 2
B is between A and C. What is AC?AB = 9 and BC = 14.
AAC = 23
BAC = 5
CAC = 24
DAC = 126
Question 3
M is the midpoint of \(\overline{PQ}\). If PM = 15, what is PQ?
APQ = 15
BPQ = 30
CPQ = 7.5
DPQ = 45
Question 4
Ray OB is inside \(\angle AOC\). What is \(m\angle AOC\)?m∠AOB = 40° and m∠BOC = 55°.
A\(95^{\circ}\)
B\(15^{\circ}\)
C\(85^{\circ}\)
D\(105^{\circ}\)
Question 5
What is the complement of a \(71^{\circ}\) angle?
A\(109^{\circ}\)
B\(29^{\circ}\)
C\(71^{\circ}\)
D\(19^{\circ}\)
Question 6
What is the supplement of a \(128^{\circ}\) angle?
A\(38^{\circ}\)
B\(62^{\circ}\)
C\(232^{\circ}\)
D\(52^{\circ}\)
Question 7
Two lines intersect. What is the measure of the angle vertical to the \(65^{\circ}\) angle?The angle marked ? is opposite the 65° angle.
A\(65^{\circ}\)
B\(115^{\circ}\)
C\(25^{\circ}\)
D\(295^{\circ}\)
Question 8
Two angles form a linear pair. One angle is twice the other. What is the measure of the larger angle?
A\(60^{\circ}\)
B\(90^{\circ}\)
C\(120^{\circ}\)
D\(100^{\circ}\)
Question 9
Which statement describes a circle?
AAll points in space at a given distance from a center point
BAll points in a plane equidistant from two given points
CAll points in a plane at a given distance from a center point
DAll points on a line at a given distance from a point
Question 10
Which statement is true about perpendicular lines?
AThey lie in one plane and never intersect
BThey intersect to form four right angles
CThey intersect to form angles of 60° and 120°
DThey intersect to form four angles of 45°
🎉 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:
Point, line and plane are undefined terms; all other figures are defined from them.
Segment Addition Postulate: if B is between A and C, then AB + BC = AC.
Angle Addition Postulate: if D is inside angle ABC, the two smaller angles add to angle ABC.
Complementary angles add to 90 degrees; supplementary angles and linear pairs add to 180 degrees.
Vertical angles are congruent.
How to use this geometry foundations quiz
Retake this geometry foundations quiz until every answer is right, then move on to the worksheet and the test.