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)
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)
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)
See every chapter on the Geometry math page.



