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3B · Chapter 12 · exam

Chapter practice examination

Original untimed practice examination. Not a secure or official placement test.

Original untimed practice examination. Not a secure or official placement test. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.

Assessment · 24 questions

Questions

Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.

Check your work: Finish the problems first, then ask a parent or tutor to review them with the separate answer-key copy.

  1. A1

    A student answers the following question with “scalene”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: A triangle has side lengths 11, 11, and 13 units. Classify it by its side lengths. (3 points)

  2. A2

    An angle measures 139°. Is it acute, right, or obtuse? (2 points)

  3. A3

    Using a compass set to 22 mm, draw a circle. What must be the distance from the center to every point on the circle? (3 points)

  4. A4

    A circle has diameter 32 cm. What is its radius? (2 points)

  5. A5

    A student answers the following question with “obtuse”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: An angle measures 50°. Is it acute, right, or obtuse? (3 points)

  6. A6

    A triangle has side lengths 5, 5, and 5 units. Classify it by its side lengths. (2 points)

  7. A7

    A triangle has side lengths 3, 4, and 5 units. Classify it by its side lengths. (2 points)

  8. A8

    A triangle has side lengths 14, 14, and 16 units. Classify it by its side lengths. (2 points)

  9. A9

    A student answers the following question with “scalene”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: A triangle has side lengths 13, 13, and 13 units. Classify it by its side lengths. (3 points)

  10. A10

    A triangle has side lengths 10, 10, and 12 units. Classify it by its side lengths. (2 points)

  11. A11

    An angle measures 42°. Is it acute, right, or obtuse? (2 points)

  12. A12

    Using a compass set to 9 mm, draw a circle. What must be the distance from the center to every point on the circle? (3 points)

  13. A13

    A student answers the following question with “acute”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: An angle measures 101°. Is it acute, right, or obtuse? (3 points)

  14. A14

    An angle measures 31°. Is it acute, right, or obtuse? (2 points)

  15. A15

    Identify the most specific shape: a quadrilateral has four right angles, adjacent side lengths 9 cm and 11 cm. (2 points)

  16. A16

    Using a compass set to 21 mm, draw a circle. What must be the distance from the center to every point on the circle? (3 points)

  17. A17

    A student answers the following question with “rhombus with no right angles”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Identify the most specific shape: a quadrilateral has four right angles and four equal sides of 5 cm. (3 points)

  18. A18

    A circle has diameter 44 cm. What is its radius? (2 points)

  19. A19

    An angle measures 78°. Is it acute, right, or obtuse? (2 points)

  20. A20

    An angle measures 165°. Is it acute, right, or obtuse? (2 points)

  21. A21

    A student answers the following question with “10 cm”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: A circle has diameter 18 cm. What is its radius? (3 points)

  22. A22

    A circle has radius 24 cm. What is its diameter? (2 points)

  23. A23

    An angle is 60°. A student calls it obtuse because the rays look long. Explain the error. (3 points)

  24. A24

    Two circles have diameters 10 cm and 12 cm. Which has the larger radius and by how much? (3 points)

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