Pythagorean Theorem Review - 2021

Quiz by Cecilia Argueta

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- 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?

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?

400 ft

20 ft

10.5 ft

28 ft

300s - Q5
Which statement is true?

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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?

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?

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?

10 yards

100 yards

258 yards

60 yards

300s - Q9
Which measurement is closest to the length between X and Y in units?

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?

8.6 inches

5.7 inches

7.3 inches

4.9 inches

300s