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Grade 10 Pythagorean Theorem and Applications
Grade 11 Trigonometry CCSS: HSG-SRT.D.10

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What is the missing reason in step 16?
  1. Pythagorean Identity
  2. Pythagorean Theorem
  3. Algebra (subtraction)
  4. Subtraction Property of Equality
Grade 11 Trigonometry CCSS: HSG-SRT.D.10

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What is the missing reason in step 13?
  1. Distributive Property
  2. Substitution Property of Equality
  3. Pythagorean Identity
  4. Pythagorean Theorem
Grade 11 Trigonometry CCSS: HSG-SRT.D.10

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What is the missing reason in step 9?
  1. Sum of Squares Formula
  2. Pythagorean Identity
  3. Pythagorean Theorem
  4. Substitution Property of Equality
Grade 11 Trigonometry CCSS: HSG-SRT.D.10

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What is the missing reason in step 18?
  1. Algebra (adding)
  2. Pythagorean Identity
  3. Pythagorean Theorem
  4. Algebra (collect like terms)
Grade 11 Trigonometry CCSS: HSG-SRT.D.10

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What is the missing reason in step 12?
  1. Pythagorean Theorem
  2. Trig ratios in a right triangle
  3. Substitution Property of Equality
  4. Pythagorean Identity
Grade 10 Pythagorean Theorem and Applications
Grade 8 Pythagorean Theorem and Applications
Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
Which of the following is a Pythagorean triple?
  1. (2, 3, 4)
  2. (4, 5, 6)
  3. (24, 36, 48)
  4. (36, 48, 60)
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
Which of the following is not a Pythagorean triple?
  1. (5, 12, 13)
  2. (6, 14, 15)
  3. (25, 60, 65)
  4. (50, 120, 130)
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
Grade 11 Trigonometry CCSS: HSG-SRT.D.10
Which of the following is true concerning the law of cosines formula for a right triangle? Choose all correct answers.
  1. It simplifies to the Pythagorean Theorem for the right angle.
  2. It simplifies to the Pythagorean Theorem for all angles.
  3. It can be easily proven for the acute angles, mainly using the Pythagorean Theorem and the cosine ratio for that angle.
  4. It cannot be applied to right triangles.
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Which of the following is a way to state the Pythagorean Theorem?
  1. [math]l eg^2 - "hypotenuse"^2 = l eg^2[/math]
  2. [math]l eg^2 + "hypotenuse"^2 = l eg^2[/math]
  3. [math]l eg^2 - l eg^2 = "hypotenuse"^2[/math]
  4. [math]l eg^2 + l eg^2 = "hypotenuse"^2[/math]
Grade 8 Forces and Motion
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
Which correctly states the Pythagorean Theorem for the triangle shown?
Right Triangle ABC v3
  1. [math]AC^2 + BC^2 = AB^2[/math]
  2. [math]AB^2 + BC^2 = AC^2[/math]
  3. [math]AC^2 + AB^2 = BC^2[/math]
  4. none of the above
Grade 6 Greece
This mathematical theory originated in ancient Greece.
  1. Hippocratic Oath
  2. Socratic Method
  3. Pythagorean Theorem
  4. Pericles Mathematics
Grade 11 Trigonometry CCSS: HSF-TF.C.8

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What is the missing reason in step 8?
  1. Substitution Property of Equality
  2. Given
  3. Pythagorean Theorem
  4. Trigonometric Identity
Grade 10 Pythagorean Theorem and Applications
The Pythagorean Theorem applies only to what type of triangles?
  1. Equivalent Triangles
  2. Right Triangles
  3. Isosceles Triangles
Grade 11 Trigonometry CCSS: HSF-TF.C.8

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What is the missing reason in step 2?
  1. Given
  2. Pythagorean Theorem
  3. Law of Sines
  4. Summation Property of Addition
Grade 11 Trigonometry CCSS: HSF-TF.C.9

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What is the missing reason in step 15?
  1. Addition Property of Equality
  2. Pythagorean Identity
  3. Substitution Property of Equality
  4. Given
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