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Pythagorean Theorem Review - 2021

Quiz by Cecilia Argueta

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11 questions
Show answers
  • Q1

    A 10 foot wire attached to a tower and anchored 8 feet away to hold it upright, as shown in the diagram below. Approximately how tall is the tower?

    Question Image

    14 ft

    12 ft

    6 ft

    18 ft

    300s
  • Q2

    Which of the following represents the side lengths of a right triangle?

    12 in, 35 in, 37 in

    4 in, 6in, 10 in

    5in, 7in, 12in

    2 in, 4in, 8in

    300s
  • Q3

    Which of the following does NOT represent the side lengths of a right triangle?

    3 cm, 4 cm, 5cm

    6 cm, 8 cm, 10 cm

    3 cm, 8 cm, 12 cm

    10 cm, 24 cm, 26 cm

    300s
  • Q4

    1.     Ms. Flores has asked her husband to clean the gutters on her house. The gutters are 16 feet off the ground, and the base of the ladder is 12 feet away from the house. How long must the ladder be to reach the gutters?

    Question Image

    400 ft

    20 ft

    10.5 ft

    28 ft

    300s
  • Q5

    Which statement is true?

    *Click on the picture to enlarge

    Question Image

    The sum of the areas of Square N and Square K is less than the area of Square L.

    The sum of the areas of Square N and Square L is greater than the area of Square K.

    The sum of the areas of Square N and Square K is equal to the area of Square L.

    The sum of the areas of Square N and Square L is equal to the area of Square K.

    300s
  • Q6

    When three squares are joined at their vertices to forma right triangle, the combined area of the two smaller squares is the same as the area of the largest square. 

    Which three squares support this statement? 

    Answer Image
    Answer Image
    Answer Image
    Answer Image
    300s
  • Q7

    Kimberly has a rectangular garden measuring 12 m by 20 m that he wants to split diagonally from corner to corner using a fence. Approximately how long does his fence need to be?

    Question Image

    12.8 m

    20.3 m

    32 m

    23.3 m

    300s
  • Q8

    Sebastian walks from the Tunic Shoppe to Home, he then walks from Home to the Toga Store. Sebastian then decides he is going to walk back to the Tunic Shoppe. Looking at the given diagram, how far is the Tunic Shoppe from the Toga Store?

    Question Image

    10 yards 

    100 yards 

    258 yards

    60 yards

    300s
  • Q9

    Which measurement is closest to the length between X and Y in units?

    Question Image

    7.8 units

    11.7 units

    13.0 units

    16.0 units

    300s
  • Q10

    The width of a rectangle is 5 feet, and the diagonal length of the rectangle is 12 feet. Which measurement is closest to the length of this rectangle in feet? 

    17 ft

    12.2 ft

    10.9 ft

    13 ft

    300s
  • Q11

    The dimensions of a rectangular picture are 5 inches and 7 inches. Julian folded the picture along its diagonal. Which measurement is closest to the length of the diagonal in inches?

    Question Image

    8.6 inches

    5.7 inches

    7.3 inches

    4.9 inches

    300s

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