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Pythagorean Theorem & Radicals Test Review

Test your knowledge of Pythagorean Theorem and radicals with this review. Practice approximating square roots, identifying number sets, determining distances between points, and finding missing side lengths in triangles.

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Pythagorean Theorem & Radicals Test Review

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  1. Review for Pythagorean Theorem and Radicals Test Ready? Get set… GO!

  2. Ready? Approximate √27 • Between what 2 integers? • Closer to __ than __. • Is close to what fraction?

  3. ANSWER a)5 and 6 b) Closer to 5 than 6 c) 5 2/11

  4. Get Set… Approximate √11 • Between what 2 integers? • Closer to __ than __. • Is close to what fraction?

  5. ANSWER • 3 and 4 • Closer to 3 than 4 c) 3 2/7

  6. GO! Approximate √90 • Between what 2 integers? • Closer to __ than __. • Is close to what fraction?

  7. ANSWER • 9 and 10 • About in the middle c) 9 9/19

  8. Ready? Which of the following number sets does -9 belong to? • Rational • Whole • Integers • Natural/Counting • Irrational

  9. ANSWER A,C

  10. Get Set… Which of the following number sets does 0 belong to? • rational • Whole • Integers • Natural/Counting • Irrational

  11. ANSWER A,B,C

  12. Go! Which of the following number sets does π belong to? • rational • Whole • Integers • Natural/Counting • Irrational

  13. ANSWER E

  14. Ready? What’s the distance between these two points?

  15. ANSWER √40

  16. Get Set… What’s the distance between these two points? (3, 5) and (1,10)

  17. ANSWER √29

  18. GO! What’s the distance between these two points? (-3, 15) and (1,12)

  19. ANSWER 5

  20. Ready? Is it a right triangle? 12 IN. 6 IN. 6 IN.

  21. ANSWER NO!

  22. Get set… Is it a right triangle? 10 IN. 6 IN. 8 IN.

  23. ANSWER YES!

  24. Go! Is it a right triangle? 13 IN. 5 IN. 11 IN.

  25. ANSWER NO!

  26. And extend! Is it a right triangle? √149 IN. √5 IN. 12 IN.

  27. ANSWER Yes!

  28. Ready? Find the length of the missing side. 6 IN. 7 IN.

  29. ANSWER √85

  30. Get Set… Find the length of the missing side. 9 IN. 6 IN.

  31. ANSWER √45

  32. GO! Find the length of the missing side. 10 IN. 6 IN.

  33. ANSWER 8

  34. And Extend! Find the length of the missing side. √4 IN. √3 IN.

  35. ANSWER √7

  36. What’s the area of the green square?

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