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

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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 B
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. Two angles form a linear pair. One measures 3x degrees and the other measures (x + 20) degrees. What is the measure of the larger angle?
    1. A. 40°
    2. B. 60°
    3. C. 120°
    4. D. 140°
  2. Which three terms are undefined terms in geometry?
    1. A. Segment, ray, and angle
    2. B. Line, segment, and plane
    3. C. Point, angle, and ray
    4. D. Point, line, and plane
  3. The supplement of an angle is three times its complement. What is the measure of the angle?
    1. A. 45°
    2. B. 67.5°
    3. C. 60°
    4. D. 22.5°
  4. Points A, B, and C are collinear, and B is between A and C. AB = 7 and BC = 12. What is AC?
    1. A. 12
    2. B. 84
    3. C. 5
    4. D. 19
  5. What is the distance between (-1, 2) and (5, 10)?
    1. A. 8
    2. B. 14
    3. C. 100
    4. D. 10
  6. In a proof, the step "2(x + 3) = 14" is followed by "2x + 6 = 14." Which reason justifies the second step?
    1. A. Reflexive Property of Equality
    2. B. Distributive Property
    3. C. Division Property of Equality
    4. D. Subtraction Property of Equality
  7. Use inductive reasoning to find the next number: 3, 7, 11, 15, ...
    1. A. 18
    2. B. 30
    3. C. 21
    4. D. 19
  8. Which property justifies "If AB = CD, then CD = AB"?
    1. A. Reflexive Property of Equality
    2. B. Substitution Property of Equality
    3. C. Symmetric Property of Equality
    4. D. Transitive Property of Equality
  9. In a proof, a student writes: "∠1 and ∠2 are vertical angles, so ∠1 ≅ ∠2." Which reason supports this step?
    1. A. Definition of supplementary angles
    2. B. Vertical Angles Theorem
    3. C. Linear Pair Postulate
    4. D. Corresponding Angles Postulate
  10. Given: "If a figure is a square, then it is a rectangle" and "If a figure is a rectangle, then it has four right angles." Which conclusion follows by the Law of Syllogism?
    1. A. If a figure is not a square, then it is not a rectangle.
    2. B. If a figure is a rectangle, then it is a square.
    3. C. If a figure has four right angles, then it is a square.
    4. D. If a figure is a square, then it has four right angles.
  11. Two parallel lines are cut by a transversal. One same-side interior angle measures 110°. What is the measure of the other same-side interior angle?
    1. A. 20°
    2. B. 250°
    3. C. 70°
    4. D. 110°
  12. Two angles of a triangle measure 50° and 65°. What is the measure of the third angle?
    1. A. 75°
    2. B. 245°
    3. C. 65°
    4. D. 115°
  13. Two parallel lines are cut by a transversal. One angle measures 65°. What is the measure of its corresponding angle?
    1. A. 115°
    2. B. 130°
    3. C. 25°
    4. D. 65°
  14. Two sides of a triangle measure 7 and 12. Which inequality describes all possible lengths x of the third side?
    1. A. 5 < x < 19
    2. B. 7 < x < 12
    3. C. 0 < x < 19
    4. D. 5 ≤ x ≤ 19
  15. The two remote interior angles of a triangle measure 40° and 75°. What is the measure of the exterior angle at the third vertex?
    1. A. 115°
    2. B. 65°
    3. C. 245°
    4. D. 35°

Part 2: Written Response

  1. Given: ∠1 and ∠2 form a linear pair, and ∠2 and ∠3 form a linear pair. Prove: ∠1 ≅ ∠3. Write a two-column proof with a reason for every statement.

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