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Eighth Grade (Grade 8) Geometry and Measurement Questions

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Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
Grade 8 Volume CCSS: 8.G.C.9
Pi [math](pi)[/math] is used when calculating which of the following?
  1. area of a circle
  2. volume of a sphere
  3. volume of a cylinder
  4. volume of a cone
  5. all of the above
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
AB=113
BC=248
What is the length of AC?

Right Triangle ABC v1
  1. 114.2
  2. 189.6
  3. 200.8
  4. 272.5
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
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 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 8 Triangles CCSS: 8.G.A.5
The exterior angle of a triangle is equal to
  1. the value of its adjacent angle
  2. the sum of its opposite interior angles
  3. the product of its opposite interior angles
  4. the difference between its opposite interior angles
Grade 8 Pythagorean Theorem and Applications
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
Grade 8 Coordinate Geometry CCSS: 8.G.B.8
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.6
For the right triangle below: [math]BC^2 = AB^2 + AC^2 [/math]

Which equation is equivalent to the above equation?

Right Triangle ABC v1
  1. [math]BC = AB + AC [/math]
  2. [math]AB^2 = BC^2 - AC^2[/math]
  3. [math]AC^2 = BC^2 + AB^2 [/math]
  4. [math]AB^2 = BC^2 + AC^2 [/math]
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