Geometry (Grades 9–10) Midterm — Quick Check, Units 1–3
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Free printable Geometry midterm (Grades 9–10): 10 multiple-choice questions covering Foundations: Points, Lines & Angles, Reasoning & Proof, Parallel Lines & Triangles. Answer key included — customize it in the Midterm Maker.
Geometry (Grades 9–10) Midterm — Quick Check, Units 1–3
Name: Date: Period:
Directions: Read each question carefully and choose the best answer.
Covers: Foundations: Points, Lines & Angles · Reasoning & Proof · Parallel Lines & Triangles
Part 1: Multiple Choice
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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?
- A. 40°
- B. 60°
- C. 120°
- D. 140°
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Points A, B, and C are collinear, and B is between A and C. AB = 7 and BC = 12. What is AC?
- A. 12
- B. 84
- C. 5
- D. 19
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Which three terms are undefined terms in geometry?
- A. Segment, ray, and angle
- B. Line, segment, and plane
- C. Point, angle, and ray
- D. Point, line, and plane
-
Use inductive reasoning to find the next number: 3, 7, 11, 15, ...
- A. 18
- B. 30
- C. 21
- D. 19
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Which pair of statements is equivalent to the biconditional "An angle is right if and only if it measures 90°"?
- A. If an angle is right, then it does not measure 90°; if it measures 90°, then it is right.
- B. If an angle is right, then it measures 90°; if an angle measures 90°, then it is right.
- C. If an angle measures 90°, then it is right; if an angle is not right, then it measures 90°.
- D. If an angle is right, then it measures 90°; if an angle is not right, then it measures 90°.
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Which property justifies "If AB = CD, then CD = AB"?
- A. Reflexive Property of Equality
- B. Substitution Property of Equality
- C. Symmetric Property of Equality
- D. Transitive Property of Equality
-
The vertex angle of an isosceles triangle measures 40°. What is the measure of each base angle?
- A. 40°
- B. 70°
- C. 140°
- D. 50°
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Two parallel lines are cut by a transversal. A pair of alternate interior angles measure (3x + 15)° and (5x - 25)°. What is x?
- A. 65
- B. 20
- C. 23.75
- D. 5
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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?
- A. 20°
- B. 250°
- C. 70°
- D. 110°
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Which line is parallel to y = 3x - 2?
- A. y = -3x - 2
- B. y = -(1/3)x + 4
- C. y = 3x + 7
- D. y = (1/3)x - 2
Answer Key — Geometry (Grades 9–10) Midterm — Quick Check, Units 1–3
- C — 120° 3x + x + 20 = 180 gives x = 40; the angles are 120° and 60°.
- D — 19 Segment Addition Postulate: AC = AB + BC = 19.
- D — Point, line, and plane Points, lines, and planes are described, not defined; other terms are built from them.
- D — 19 The pattern adds 4 each time: 15 + 4 = 19.
- B — If an angle is right, then it measures 90°; if an angle measures 90°, then it is right. A biconditional combines a conditional and its converse.
- C — Symmetric Property of Equality The Symmetric Property lets you swap the two sides of an equation.
- B — 70° The base angles are equal: (180 - 40) ÷ 2 = 70.
- B — 20 Alternate interior angles are congruent: 3x + 15 = 5x - 25, so x = 20.
- C — 70° Same-side interior angles are supplementary: 180 - 110 = 70.
- C — y = 3x + 7 Parallel lines have equal slopes; both have slope 3.