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 miles
B. 80 miles
C. 480 miles
D. 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 cm
B. 10 cm
C. 12 cm
D. 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 km
B. 21 km
C. 54 km
D. 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 centimeters
B. 182 centimeters
C. 196 centimeters
D. 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 centimeters
B. 17 centimeters
C. 26 centimeters
D. 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 in
B. 5 in
C. 4.6 in
D. 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 m
B. 19 m
C. 4 m
D. 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 yards
B. 23 yards
C. 46 yards
D. 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 ft
B. 2.9 ft
C. 2.1 ft
D. 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 feet
B. 54 feet
C. 42 feet
D. 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 inches
B. 27 inches
C. 28 inches
D. 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 mm
B. 70 mm
C. 33 mm
D. 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 inches
B. 30 inches
C. 20 inches
D. 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 feet
B. 30 feet
C. 25 feet
D. 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 units
B. 5 units
C. 3 units
D. 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 inches
B. 75 inches
C. 60 inches
D. 80 inches
Answers
1. 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