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Geometry (Grades 9–10) Midterm — Semester 1, Form A

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Math Grades 9–10 15 multiple choice + 1 written

Free printable Geometry midterm (Grades 9–10): 15 multiple-choice questions plus 1 written response covering Foundations: Points, Lines & Angles, Reasoning & Proof, Parallel Lines & Triangles. Answer key included — customize it in the Midterm Maker.

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Geometry (Grades 9–10) Midterm — Semester 1, Form A
Name: Date: Period:

Directions: Read each question carefully and choose the best answer. Answer the written response in complete sentences.

Covers: Foundations: Points, Lines & Angles · Reasoning & Proof · Parallel Lines & Triangles

Part 1: Multiple Choice

  1. What is the midpoint of the segment with endpoints (2, -4) and (8, 6)?
    1. A. (5, 1)
    2. B. (5, -1)
    3. C. (3, 5)
    4. D. (10, 2)
  2. M(3, 5) is the midpoint of segment AB, and A is at (1, 2). What are the coordinates of B?
    1. A. (5, 8)
    2. B. (2, 3.5)
    3. C. (-1, -1)
    4. D. (4, 7)
  3. Ray BD bisects angle ABC. The measure of angle ABD is (2x + 10)° and the measure of angle DBC is (4x - 20)°. What is the measure of angle ABC?
    1. A. 40°
    2. B. 80°
    3. C. 160°
    4. D. 15°
  4. M is the midpoint of segment AB. AM = 3x + 4 and MB = 5x - 6. What is AB?
    1. A. 76
    2. B. 19
    3. C. 38
    4. D. 5
  5. Two lines intersect. A pair of vertical angles measure (5x - 10)° and (3x + 30)°. What is the measure of each of these angles?
    1. A. 90°
    2. B. 20°
    3. C. 100°
    4. D. 45°
  6. Given: "If it rains, then the game is canceled" and "It is raining." Which conclusion follows by the Law of Detachment?
    1. A. It will stop raining.
    2. B. The game is canceled.
    3. C. The game is not canceled.
    4. D. If the game is canceled, then it is raining.
  7. Which pair of statements is equivalent to the biconditional "An angle is right if and only if it measures 90°"?
    1. A. If an angle is right, then it does not measure 90°; if it measures 90°, then it is right.
    2. B. If an angle is right, then it measures 90°; if an angle measures 90°, then it is right.
    3. C. If an angle measures 90°, then it is right; if an angle is not right, then it measures 90°.
    4. D. If an angle is right, then it measures 90°; if an angle is not right, then it measures 90°.
  8. What is the converse of "If an animal is a dog, then it has four legs"?
    1. A. An animal is a dog if and only if it has four legs.
    2. B. If an animal is not a dog, then it does not have four legs.
    3. C. If an animal has four legs, then it is a dog.
    4. D. If an animal does not have four legs, then it is not a dog.
  9. Which number is a counterexample to "If a number is prime, then it is odd"?
    1. A. 9
    2. B. 2
    3. C. 3
    4. D. 15
  10. What is the contrapositive of "If x = 3, then x^2 = 9"?
    1. A. If x^2 = 9, then x = 3.
    2. B. If x^2 ≠ 9, then x ≠ 3.
    3. C. If x = 3, then x^2 ≠ 9.
    4. D. If x ≠ 3, then x^2 ≠ 9.
  11. What is the measure of each exterior angle of a regular octagon?
    1. A. 135°
    2. B. 40°
    3. C. 60°
    4. D. 45°
  12. Which line is parallel to y = 3x - 2?
    1. A. y = -3x - 2
    2. B. y = -(1/3)x + 4
    3. C. y = 3x + 7
    4. D. y = (1/3)x - 2
  13. The vertex angle of an isosceles triangle measures 40°. What is the measure of each base angle?
    1. A. 40°
    2. B. 70°
    3. C. 140°
    4. D. 50°
  14. Two parallel lines are cut by a transversal. A pair of alternate interior angles measure (3x + 15)° and (5x - 25)°. What is x?
    1. A. 65
    2. B. 20
    3. C. 23.75
    4. D. 5
  15. What is the sum of the interior angle measures of a hexagon?
    1. A. 360°
    2. B. 1,080°
    3. C. 540°
    4. D. 720°

Part 2: Written Response

  1. Point A is at (-2, 1) and point B is at (6, 7). (a) Find the length of segment AB. (b) Find the midpoint of AB. (c) Find point C so that B is the midpoint of segment AC. Show your work.

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