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Mathematics
8th -
9thgrade
Pythagorean Theorem (Legs and Hypotenuse)
45 questions
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- 1. Multiple ChoiceThe Pythagorean Theorem is
c2 = a2 - b2falsetrue - 2. Multiple Choice
Sides a and b are called legs.
true
false
- 3. Multiple Choice
Side c on a right triangle is ALWAYS the longest.
true
false
- 4. Multiple ChoiceFind the missing side9416.46.2
- 5. Multiple ChoiceFind h35.6035.0035.7161.03
- 6. Multiple ChoiceThe Pythagorean Theorem ONLY works on which triangle?obtusescaleneisoscelesright
- 7. Multiple ChoiceWhat is the opposite of squaring a number?dividemultiplyfractionssquare root
- 8. Multiple ChoiceThe Pythagorean Theorem is
a2 + b3 = c4falsetrue - 9. Math Response
a= 12, b= 35, c= ? Find c
- 10. Multiple Choice
All of the a square plus all of the b square will perfectly fill the c square with nothing left over.
True
False
- 11. Math ResponseFind the missing side
- 12. Multiple ChoiceFind the missing side926.93718.2
- 13. 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
- 14. Multiple ChoiceWhat is the formula used to solve for the hypotenuse?a2+b2=c2a+b=ca-b=cc-a=c
- 15. Math Responsesolve for the value of y
- 16. Math ResponseFind the missing side
- 17. Multiple ChoiceThe legs form what type of angle?AcuteObtuseReflexRight
- 18. Multiple Choiceyou ADD a2 and c2 then take the square root to find b on a right triangle.truefalse
- 19. Multiple Choiceyou ADD a2 and b2 then take the square root to find c on a right triangle.truefalse
- 20. Multiple ChoiceThe Pythagorean Theorem is
a2 + b2 + c2falsetrue - 21. Multiple ChoiceFind the length of the missing side.25 cm42 cm52 cm48 cm
- 22. Multiple Choice
What is the name for side c?
head
body
hippopotamus
hypotenuse
- 23. 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
- 24. Multiple ChoiceSolve for x.38.940.245.654
- 25. Multiple ChoiceFind the length of the missing side.17 cm22 cm15 cm13 cm
- 26. Multiple ChoiceFind the length of the missing side.20 in.68 in.16 in.80 in.
- 27. Multiple Choice
The diagonal is 26 ft
The diagonal is 31 ft
The diagonal is 21.8 ft
The diagonal is 20.9 ft
- 28. Math Response
Use the Pythagorean Theorem to find x, the length of the diagonal.
- 29. Multiple Choice
John was mapping out a route to ride his bike. The route he picked forms a right triangle, as shown. If the route takes him ten miles on Forrest Lane and twenty-six miles on Cedar Drive, how far will Anthony ride down Pine Avenue? If necessary, round your answer to the nearest whole mile.
24 miles
28 miles
27 miles
23 miles
- 30. Math Response
solve for c
- 31. 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.
- 32. Multiple ChoiceThe Pythagorean Theorem is
a2 + b3 = c4falsetrue - 33. Multiple ChoiceFind the length of the missing side.20 in.68 in.16 in.80 in.
- 34. Multiple Choice
**Select all that apply. Which of the following equations represent Pythagorean Theorem? *Multiple Answers*
Leg2 + Leg2 = Hyp2
a2 + b2 = c2
c2 - b2 = a2
c - a = b
a + b = c
- 35. Drop Down
What side is missing? (a)
HypotenuseLeg - 36. Drop Down
Which side is missing? (a)
LegHypotenuseRight Angle - 37. Multiple ChoiceWhat is the opposite of squaring a number?dividemultiplyfractionssquare root
- 38. Math ResponseFind the value of x.
- 39. Drop Down
The side of a right triangle across from the right angle is called (a) .
squarearmleghypotenuse - 40. Math Responsesolve for x
- 41. Multiple ChoiceFind the length of the missing side.17 cm22 cm15 cm13 cm
- 42. 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
- 43. Math ResponseSolve for the walkway length
- 44. Multiple ChoiceFind the length of the missing side.48 in.52 in.16 in.24 in.
- 45. Math ResponseFind the missing side
- Answer choicesTagsAnswer choicesTags