This geometry foundations test checks points, lines, planes, segments and angles in 45 minutes, with 8 questions for a total of 20 points.
This 45-minute test covers undefined terms, definitions, the Segment and Angle Addition Postulates, midpoints, bisectors and angle pairs (G-CO.A.1). It has 8 questions worth 20 points. Show your equations for full credit.
- Grade: Geometry
- Chapter: Points, Lines, Planes, Segments and Angles
- Common Core: G-CO.A.1
- Time: 45 minutes
- Total: 20 points (Question 1: 2 pts; Question 2: 2 pts; Question 3: 3 pts; Question 4: 2 pts; Question 5: 3 pts; Question 6: 2 pts; Question 7: 3 pts; Question 8: 3 pts)
Geometry Foundations Test: questions 1–5
Question 1: Undefined terms and definitions (2 points)
- Name the three undefined terms of geometry. (1 point)
- Write a precise definition of a ray. (1 point)
Question 2: Naming rays and points (2 points)
Use the figure.
- Name the ray with endpoint B that passes through C. (1 point)
- Name a pair of opposite rays. (1 point)
Question 3: Segment addition (3 points)
K is between J and L.
- Find x. (2 points)
- Find KL. (1 point)
Question 4: Midpoint (2 points)
N is the midpoint of \(\overline{RS}\). \(RN=5x-4\) and \(NS=3x+8\).
- Find x. (1 point)
- Find RS. (1 point)
Question 5: Angle addition (3 points)
Ray OB lies inside \(\angle AOC\), and \(m\angle AOC\)\(=118^{\circ}\).
- Find x. (2 points)
- Find \(m\angle BOC\). (1 point)
Geometry Foundations Test: questions 6–8
Question 6: Complement problem (2 points)
The measure of an angle is 4 times the measure of its complement. Find the measure of the angle and of its complement.
Question 7: Vertical angles and linear pairs (3 points)
Two lines intersect. \(m\angle 1\)\(=(6x-8)^{\circ}\) and \(m\angle 3\)\(=(4x+14)^{\circ}\).
- Find x. (1 point)
- Find \(m\angle 1\). (1 point)
- Find \(m\angle 2\) and name the angle relationship you used. (1 point)
Question 8: Angle bisector (3 points)
Ray BD bisects \(\angle ABC\).
- Find x. (1 point)
- Find \(m\angle ABC\). (1 point)
- Classify \(\angle ABC\) as acute, right or obtuse. (1 point)
How to use this geometry foundations test
Take this geometry foundations test without notes, then grade it with the test answer key out of 20 points.
See every chapter on the Geometry math page.




