Unit 9 Pythagorean Theorem Quiz

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Which three squares do NOT support this statement?

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The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram.

Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

Point J (-4,−6) and point K (4, 4) are located on a coordinate grid. Which measurement is closest to the distance between point J and point K in units? 

• 18 units

• 6 units

• 13 units

• 9 untis

A right triangle and two of its side lengths are shown in the diagram. 

Which measurement is closest to the value of x in centimeters?

• 37.1 cm

• 40.8 cm

• 27 cm

• 51 cm

An artist joined three square regions at their vertices to create the figure shown in the diagram. The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, which statement is true?

The number of tiles needed to cover -- Fill in the Blank -- is the same as the number of tiles needed to cover both -- Fill in the Blank -- and Region X.

• Region Y , Region Z

• Region Z, Region Y

Point M is located at (4, 6) on a coordinate grid. Point M is translated 8 units to the left and 9 units down to create point M′. Which measurement is closest to the distance between point M and point M′ in units?

• 4 units

• 17 units

• 9 units

• 12 untis

Determine whether the measurements make a right triangle.

Select all that apply.

• 9 m, 11 m, 13 m

• 18 m, 24 m, 30 m

• 7 m, 24 m, 25 m

• 20 m, 21 m, 29 m

The size of a television screen is measured along its diagonal. A 25-inch(in.) television screen is shown below. 

If the television screen shown above is 20 inches wide, what is the height, in inches of the screen? 

• 10

• 15

Sophia used an 8-foot rope to secure a 6-foot tent pole as shown below. 

Approximately how far from the base of the pole is the rope tied? 

• 5

• 7

• 10

• 14

The set designer for a play painted some background scenery on a large piece of plywood. He used a 13-foot-long pole to hold the piece of plywood upright, as shown in the diagram below. What is h, the total height in feet of the piece of plywood?