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The Pythagorean Theorem: Grade 8 Math Quiz – PDF Download

    The Pythagorean Theorem – Grade 8 math quiz

    This grade 8 pythagorean theorem quiz asks 10 multiple-choice questions on the pythagorean theorem, and each answer comes with a short explanation.

    Ten multiple-choice questions on the Pythagorean Theorem (8.G.B.6 and 8.G.B.7). Find missing sides, test triangles with the converse, and handle ladders, screens and boxes. Pick the single best answer, then read the explanation to see which mistake each wrong choice matches.

    Grade 8Common Core: 8.G.B.6 · 8.G.B.7
    🎯 The Pythagorean Theorem – Grade 8 math quiz
    Score: 0 / 10
    Answered: 0 / 10
    Question 1
    What is the length of the hypotenuse?
    247c
    A right triangle with legs 7 and 24.
    A 31
    B 17
    C 25
    D 625
    Question 2
    A right triangle has a hypotenuse of 20 and one leg of 12. What is the other leg?
    A 8
    B 16
    C 23.3
    D 32
    Question 3
    Which set of side lengths forms a right triangle?
    A 8, 12, 15
    B 9, 40, 41
    C 6, 9, 11
    D 10, 15, 18
    Question 4
    A 10-ft ladder has its base 6 ft from a wall. How high up the wall does it reach?
    h6 ft10 ft
    A ladder leaning on a wall.
    A 4 ft
    B 11.7 ft
    C 64 ft
    D 8 ft
    Question 5
    A TV screen is 16 in. wide and 12 in. tall. How long is the diagonal?
    A 28 in
    B 4 in
    C 20 in
    D 400 in
    Question 6
    The legs of a right triangle are 3 and 5. What is the hypotenuse to the nearest tenth?
    A 8.0
    B 5.8
    C 4.0
    D 34.0
    Question 7
    A square with side 11 contains four right triangles with legs 5 and 6. What is the area of the tilted square in the middle?
    56?
    Four triangles with legs 5 and 6.
    A 91
    B 121
    C 60
    D 61
    Question 8
    What is the length of the space diagonal of a box that is 2 by 3 by 6?
    d632
    A box.
    A 7
    B 11
    C 49
    D 3.6
    Question 9
    A triangle has sides 6 in., 8 in. and 9 in. Which statement is correct?
    A It is a right triangle, because 6 + 8 is greater than 9.
    B It is a right triangle, because 9 is its longest side.
    C It is not a right triangle, because 6 squared plus 8 squared is 100, not 81.
    D It is a right triangle, because all three sides are whole numbers.
    Question 10
    Liam walks 0.6 mi west and then 0.8 mi south. How far is he from his start in a straight line?
    A 1.0 mi
    B 1.4 mi
    C 0.2 mi
    D 0.5 mi

    🎉 Quiz complete!

    0 / 10

    How does this quiz work?

    Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

    What should you review before the quiz?

    Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

    Remember:

    • Standards 8.G.B.6 and 8.G.B.7: explain a proof of the theorem and its converse, then apply it in two and three dimensions.
    • The hypotenuse is opposite the right angle and is always the longest side.
    • To find a missing side, substitute into \(a^{2}+b^{2}=c^{2}\), then take a positive square root.
    • Converse: if \(a^{2}+b^{2}=c^{2}\) holds for the sides of a triangle, it is a right triangle.
    • The diagonal of a box satisfies \(d^{2}=l^{2}+w^{2}+h^{2}\).

    How to use this grade 8 pythagorean theorem quiz

    Retake this grade 8 pythagorean theorem quiz until every answer is right, then move on to the worksheet and the test.

    Next step after this grade 8 pythagorean theorem quiz: The Pythagorean Theorem lesson

    See every chapter on the Grade 8 math page.

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