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Eighth Grade (Grade 8) Geometry and Measurement Questions

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Grade 8 Symmetry and Transformations CCSS: 8.G.A.3
The second image was created from the first using which transformation(s)?
T Q3 Vertical
T Q4 Horizontal
  1. Rotation
  2. Translation and Dilation
  3. Reflection and Translation
  4. No possible transformations
Grade 8 Circles
What term is used to describe half of the diameter?
  1. radius
  2. half diameter
  3. quarter
  4. circumference
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
Find the length of the hypotenuse of this triangle.
¯AB= 3 m
¯AC= 4 m
Right Triangle ABC v2
  1. 12 m
  2. 7 m
  3. 6 m
  4. 5 m
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
This is a right triangle:

side a = 2.1 cm
side b = 7.2 cm
side c = 7.5 cm
  1. True
  2. False
Grade 8 Similar and Congruent Figures CCSS: 8.G.A.4
Which relationship is true for the images?

Parallelogram v1Parallelogram v2
  1. They are congruent.
  2. They are similar, but not congruent.
  3. They are neither similar nor congruent.
Grade 8 Volume CCSS: 8.G.C.9
What is the approximate volume of a sphere with a radius of 3 ft?
Sphere
  1. 14 cubic feet
  2. 113 cubic feet
  3. 339 cubic feet
  4. 905 cubic feet
Grade 8 Triangles
In triangle ABC, angle A measures 84 degrees and angle C measures 48 degrees. What is the measurement of Angle B?
Acute Triangle ABC v2
  1. 48 degrees
  2. 180 degrees - 84 degrees
  3. 84 degrees
  4. 180 degrees - 48 degrees
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
AB = 12
AC = 8
What is the length of BC?
Right Triangle ABC v1
  1. 14.4
  2. 8.9
  3. 10.2
  4. 208
Grade 8 Volume CCSS: 8.G.C.9
The diameter of Earth is about 7,918 miles. Which of the following is the best estimate of Earth's volume?
  1. 5.0×104 cubic miles
  2. 10.0×104 cubic miles
  3. 2.6×1011 cubic miles
  4. 2.1×1012 cubic miles
Grade 8 Pythagorean Theorem and Applications CCSS: 8.G.B.7
If BC = 61 and AB = 82, what is AC?
Right Triangle ABC v3
  1. 55
  2. 54
  3. 103
  4. 102
Grade 8 Coordinate Geometry CCSS: 8.G.B.8
Find the distance between the points (-9, 10) and (-3, 2).
  1. 10
  2. -10
  3. 16
  4. 4
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1
Which image shows the direction the arrow would point after rotating 180° clockwise?

↑
  1. ↑
  2. ↓
  3. →
  4. ←
Grade 8 Points, Lines, and Planes
What kinds of lines are these?
Vertical Angle #1
  1. perpendicular
  2. parallel
  3. intersecting
  4. scalene
Grade 8 Coordinate Geometry CCSS: 8.G.B.8
What is the distance between (2, 4) and (8, 6)?
  1. 6.3
  2. 4.2
  3. 40
  4. 13.2
Grade 8 Volume CCSS: 8.G.C.9
What is the volume of a right cylinder with a radius of 10 m and a height of 11 m? (round pi to 3.14)
  1. 34.5 cubic meters
  2. 31.4 cubic meters
  3. 345 cubic meters
  4. 3,454 cubic meters
Grade 8 Volume CCSS: 8.G.C.9
A spherical water tower has a diameter of 32 feet. How much water can it hold?
Sphere
  1. 51,471 ft3
  2. 17,157 ft3
  3. 12,868 ft3
  4. 17,158 ft3
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