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Mathematics
7th -
9thgrade
Pythagorean Theorem Word Problems and Practice
27 questions
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- 1. Multiple ChoiceCasey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?17 miles32 miles37 miles40 miles
- 2. Multiple ChoiceYou need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?25 feet26 feet27 feet28 feet
- 3. Multiple ChoiceA rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?111.8 yards115 yards127.3 yards119 yards
- 4. Multiple ChoiceJane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?14105.32
- 5. Multiple ChoiceA piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?7.5 in12.4 in13.6 in14.3 in
- 6. Multiple Choice9.2 in11 in13 in9.6 in
- 7. Multiple ChoiceFind the value of x.78910
- 8. Multiple ChoiceFind the value of x.36121625
- 9. Multiple ChoiceFind the value of x.15161817
- 10. Multiple ChoiceDoes the set of numbers represent a Pythagorean Triple.
4, 5, 6YesNo - 11. Multiple ChoiceDoes the set of numbers represent a Pythagorean Triple.
10, 24, 26YesNo - 12. Multiple ChoiceDoes the set of numbers represent a Pythagorean Triple.
15, 20, 25YesNo - 13. Multiple ChoiceA player hits the ball to the short stop at position A. The short stop throws it to the second baseman at position B. The 2nd baseman throws it to the 1st baseman at position C. What type of triangle is formed?rightacuteobtuse
- 14. Multiple ChoiceRound to the nearest hundredth.5.5710.635.329
- 15. Multiple ChoiceSolve for x.38.940.245.654
- 16. Multiple Choice22.5 feet23 feet25 feet27.3 feet
- 17. Multiple ChoiceWhat is the distance between (-5, 3) and (4, -5)Square root of -145Square root of 145145-145
- 18. Multiple ChoiceWhat is the distance between (2,9) and (1,5)?15174.123.87
- 19. Multiple ChoiceWhat is the distance between the two points?6.36.56.716
- 20. Multiple ChoiceFind the distance.7.17.88.78.9
- 21. Multiple ChoiceChallenge! Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.571012
- 22. Multiple ChoiceFind the Perimeter8.717.833.742.8
- 23. Multiple ChoiceFind the distance between J and K.8.27.7910.2
- 24. Multiple ChoiceWhich statement could you use to make the proof of Pythagorean Theorem using the diagram?Because 3+4=7, the Pythagorean Theorem is a2+b2=c2.Because 9+16=25, the Pythagorean Theorem is a+b=c.Because 3+4=7, the Pythagorean Theorem is a+b=c.Because 9+16=25, the Pythagorean Theorem is a2+b2=c2.
- 25. Multiple ChoiceWhich of the following sentences would belong in the proof that describes this image?The sum of the areas of the two smaller squares is equal to the area of the large square.The sum of the side lengths of the two smaller squares is equal to the side length of the large square.The difference of the areas of the two smaller squares is equal to the area of the large square.The differences of the side lengths of the two smaller squares is equal to the side length of the large square.
- 26. Multiple Choice28 ft38 ft43 ft49 ft
- 27. Multiple ChoiceSolve for the walkway length30405835
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