Geometry Theorems and Triangle Measurements Quiz
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Questions and Answers

Which theorem will you use to find the diagonal of a 10 cm by 8 cm rectangle?

  • Triangle Angle Bisector Theorem
  • Triangle Proportionality Theorem
  • Pythagorean Theorem (correct)
  • Right Triangle Proportionality Theorem
  • If the hypotenuse of a 30°-60°-90° triangle measures 8 cm, what is the length of the longer leg?

  • 8√3
  • 4√3 (correct)
  • 16
  • 4
  • In a 30°-60°-90° triangle, if the longer leg measures 24 cm, what is the length of the shorter leg?

  • 8√3
  • 8
  • 4√3 (correct)
  • 16
  • What is the perimeter of a 30°-60°-90° triangle whose hypotenuse is 10 cm long?

    <p>15√3 cm</p> Signup and view all the answers

    In a 45°-45°-90° triangle, the hypotenuse is how many times as long as any of its legs?

    <p>√2</p> Signup and view all the answers

    If the leg of a 45°-45°-90° triangle is 16 cm, what is the length of the hypotenuse?

    <p>16√2</p> Signup and view all the answers

    How many right triangles are in the figure?

    <p>One</p> Signup and view all the answers

    Which is not an altitude?

    <p>CB</p> Signup and view all the answers

    What is the length of AD if BD=6 cm and CD=4 cm?

    <p>$2\sqrt{10}$</p> Signup and view all the answers

    Find the measure of AC if BD=6 cm and CD=4 cm.

    <p>$2\sqrt{5}$</p> Signup and view all the answers

    What is the length of BC if AD=12 and CD=4?

    <p>28</p> Signup and view all the answers

    If k=4 and j=7, what is the length of m?

    <p>$\sqrt{33}$</p> Signup and view all the answers

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