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Points, Lines, Planes, Segments and Angles: Geometry Math Test – PDF Download

    Points, Lines, Planes, Segments and Angles – Geometry math test

    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.

    Test information
    • 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)

    1. Name the three undefined terms of geometry. (1 point)
    2. Write a precise definition of a ray. (1 point)

    Question 2: Naming rays and points (2 points)

    Use the figure.

    ABCD
    Points A, B and C are on one line; D is not.
    1. Name the ray with endpoint B that passes through C. (1 point)
    2. Name a pair of opposite rays. (1 point)

    Question 3: Segment addition (3 points)

    K is between J and L.

    JKLJK = 2x + 3KL = 3x − 1JL = 37
    JK = 2x + 3, KL = 3x − 1, JL = 37.
    1. Find x. (2 points)
    2. Find KL. (1 point)

    Question 4: Midpoint (2 points)

    N is the midpoint of \(\overline{RS}\). \(RN=5x-4\) and \(NS=3x+8\).

    1. Find x. (1 point)
    2. Find RS. (1 point)

    Question 5: Angle addition (3 points)

    Ray OB lies inside \(\angle AOC\), and \(m\angle AOC\)\(=118^{\circ}\).

    ABC(3x+7)°(5x−1)°O
    m∠AOB = (3x + 7)° and m∠BOC = (5x − 1)°.
    1. Find x. (2 points)
    2. 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 \(m\angle 3\)\(=(4x+14)^{\circ}\).

    1234
    Angles 1 and 3 are opposite angles.
    1. Find x. (1 point)
    2. Find \(m\angle 1\). (1 point)
    3. Find \(m\angle 2\) and name the angle relationship you used. (1 point)

    Question 8: Angle bisector (3 points)

    Ray BD bisects \(\angle ABC\).

    ADC(4x−6)°(2x+14)°B
    m∠ABD = (4x − 6)° and m∠DBC = (2x + 14)°.
    1. Find x. (1 point)
    2. Find \(m\angle ABC\). (1 point)
    3. Classify \(\angle ABC\) as acute, right or obtuse. (1 point)

    Points, Lines, Planes, Segments and Angles: Geometry test answer key

    See every chapter on the Geometry math page.

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