Title: MA 8.G.2.4 Pythagorean Theorem

1. Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Eight hours later they are 400 miles apart. If the Ship X had traveled 320 miles from the port, how many miles had Ship Y traveled?

A. 720 milesB. 80 milesC. 480 milesD. 240 miles

2.

Note: Figure is not drawn to scale

If X = 5 cm and Y = 12 cm, what is the length of Z?A. 15 cmB. 10 cmC. 12 cmD. 13 cm

 

3.

Note: Figure is not drawn to scale

If L = 36 km and N = 27 km, what is the length of M?A. 19 kmB. 21 kmC. 54 kmD. 45 km

4. Todd placed 32 square tiles along the edge of his wooden dining room table, as shown below.

Note: Figure is not drawn to scale.

Todd wants to paint a design on the wood along the diagonal shown. If each tile is 14 centimeters on each side, what is the length of the diagonal shown?

A. 140 centimetersB. 182 centimetersC. 196 centimetersD. 98 centimeters

 

5.

Find the distance between A and B.A.B.C.D.

6. Baileigh is using a piece of string to hang a painting on the wall. The back of the painting is diagrammed below.

12 cm 12 cm  

5 cm

5 cm

Note: Figure is not drawn to scale.

What is the length of the string?

A. 13 centimetersB. 17 centimetersC. 26 centimetersD. 34 centimeters

7.

Note: Figure is not drawn to scale

If D = 1.4 inches and C = 4.8 inches, what is the length of E?A. 7 inB. 5 inC. 4.6 inD. 3.6 in

8.

Note: Figure is not drawn to scale

If B = 12 m and C = 13 m, what is the length of A?A. 18 mB. 19 mC. 4 mD. 5 m

9. One of Madison's hobbies is to locate hidden geocaches. To find yesterday's cache, Madison was instructed to start at a water fountain at a local park. Then, the directions had her walk 30 yards due west and 16 yards due south. If this was the location of the cache, how far was it from the water fountain where she started?

A. 34 yardsB. 23 yardsC. 46 yardsD. 14 yards

 

10.

Find the distance between A and B.A.B.C.D.

11.

Note: Figure is not drawn to scale

If R = 2.5 ft and P = 1.5 ft, what is the length of Q?A. 3.1 ftB. 2.9 ftC. 2.1 ftD. 2 ft

 

12. A fire truck parks 15 feet away from a building. The fire truck extends its ladder 39 feet. How far up the building from the truck's roof does the extension ladder reach?

A. 36 feetB. 54 feetC. 42 feetD. 24 feet

13. Carson found an old tent in the attic of his house and decided to set it up in the back yard. However, the support sticks for the tent are missing. If the tent is 90 inches across on the bottom and 53 inches on each side, how tall of a stick does he need to set up the tent?

A. 26.5 inchesB. 27 inchesC. 28 inchesD. 73 inches

 

14.

Find the distance between A and B.A.B.C.D.

15. 

Find the distance between A and B.A.B.C.D.

16.

Note: Figure is not drawn to scale

If J = 44 mm and K = 55 mm, what is the length of L?A. 75 mmB. 70 mmC. 33 mmD. 27.5 mm

17.

A Blipco television has a rectangular screen with a diagonal measurement of 25 inches. If the screen has a height of 15 inches, what is the width of the screen?

A. 10 inchesB. 30 inchesC. 20 inchesD. 40 inches

 

18. 

Find the distance between A and B.A.B.C.D.

19. 

Find the distance between A and B.A.B.C.D.

20.

*Figure not drawn to scale

Bob is building two braces to help secure a bridge. He wants the brace to hit the wall 20 feet below the bridge (x) and hit the bottom of the bridge 15 feet from the wall (y). How long does each brace need to be (w)?

A. 15 feetB. 30 feetC. 25 feetD. 13 feet

21.

Find the distance between A and B.A.B.C.D.

 

22. Use the Pythagorean theorem to answer the following question.

What is the distance from point A to point B?A. 6 unitsB. 5 unitsC. 3 unitsD. 4 units

23. 

Find the distance between A and B.A.B.C.D.

24.

Find the distance between A and B.A.B.C.D.

25. Daniel is planning to go camping, but he lost the pole that supports the middle point of the tent. A cross-section of the tent is shown below. The base of the tent measures 80 incheswide, and the length from the top point of the tent to the corners of the base is 85 inches.

Note: Figure is not drawn to scale.

What is the length of the pole that Daniel needs to support the middle of the tent?A. 150 inchesB. 75 inchesC. 60 inchesD. 80 inches

Answers1. D 2. D 3. D 4. A 5. C 6. C 7. B 8. D 9. A 10. A 11. D 12. A 13. C 14. A 15. C 16. C 17. C 18. A 19. A 20. C 21. A 22. B 23. D 24. D 25. B