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Geometry (Grades 9–10) Midterm — Quick Check, Units 4–6

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Math Grades 9–10 10 multiple choice

Free printable Geometry midterm (Grades 9–10): 10 multiple-choice questions covering Congruence & Similarity, Right Triangles & Trigonometry, Circles, Area & Volume. Answer key included — customize it in the Midterm Maker.

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Geometry (Grades 9–10) Midterm — Quick Check, Units 4–6
Name: Date: Period:

Directions: Read each question carefully and choose the best answer.

Covers: Congruence & Similarity · Right Triangles & Trigonometry · Circles, Area & Volume

Part 1: Multiple Choice

  1. Two similar rectangles have perimeters in the ratio 2:5. What is the ratio of their areas?
    1. A. 4:10
    2. B. 8:125
    3. C. 2:5
    4. D. 4:25
  2. Triangle ABC is similar to triangle DEF. AB = 6, DE = 9, and BC = 8. What is EF?
    1. A. 72
    2. B. 5 1/3
    3. C. 12
    4. D. 11
  3. What does CPCTC stand for?
    1. A. Corresponding points of congruent triangles are collinear
    2. B. Congruent parallel chords to a circle
    3. C. Congruent parts of corresponding triangles are complementary
    4. D. Corresponding parts of congruent triangles are congruent
  4. A right triangle has legs of 7 and 24 and a hypotenuse of 25. Angle θ is opposite the side of length 7. What is cos θ?
    1. A. 7/25
    2. B. 25/24
    3. C. 7/24
    4. D. 24/25
  5. A right triangle has legs of 9 and 12. How long is the hypotenuse?
    1. A. 15
    2. B. √63
    3. C. 21
    4. D. 225
  6. Each leg of a 45°-45°-90° triangle is 7 units long. How long is the hypotenuse?
    1. A. 7√2
    2. B. 49
    3. C. 14
    4. D. 7√3
  7. A circle has a radius of 10. What is the area of a sector with a central angle of 90°?
    1. A. 100π
    2. B. 25π
    3. C. 5π
    4. D. 50π
  8. What is the total surface area of a cylinder with radius 3 and height 7?
    1. A. 63π
    2. B. 60π
    3. C. 42π
    4. D. 51π
  9. An inscribed angle in a circle intercepts an arc of 110°. What is the measure of the inscribed angle?
    1. A. 220°
    2. B. 110°
    3. C. 70°
    4. D. 55°
  10. A pyramid has a square base with sides of 6 m and a height of 10 m. What is its volume?
    1. A. 360 cubic meters
    2. B. 240 cubic meters
    3. C. 120 cubic meters
    4. D. 60 cubic meters

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