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Tenth Grade (Grade 10) Geometry and Measurement Questions

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Grade 10 Volume CCSS: HSG-GMD.A.3, HSG-MG.A.1
A spherical water tower has a diameter of 15 meters and is filled completely with water. How much water is in the tank?
  1. 14137 m3
  2. 1767 m3
  3. 994 m3
  4. 563 m3
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2
Grade 10 Circles CCSS: HSG-C.A.4
Which line segment is tangent to circle O?
Circle ABCD
  1. ¯AB
  2. ¯AC
  3. ¯AD
  4. ¯AO
Grade 10 Coordinate Geometry CCSS: HSG-GPE.B.4
For the circle centered at (-1,3) with radius 3, which of the following is true about the point (0.5,0.2)?
  1. It lies on the circle.
  2. It lies in the circle.
  3. It lies outside the circle.
  4. Not enough information.
Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2
How is the transformation between the two graphs best described?
Graph - Linear Function y=1/2x Graph - Linear Function y=2x
  1. translation
  2. rotation
  3. reflection
  4. reflection and rotation
Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
Grade 10 Angles
Which of these is not a type of angle?
  1. acute
  2. obtuse
  3. skew
  4. right
Grade 10 Circles
For each part of the circle listed below, choose ALL of the properties which are true about it.
Always intersects the center of the circle Touches only ONE point on the circle Can form inscribed angles
Radius
Diameter
Tangent
Chord
Grade 10 Triangles
What is the definition of complimentary angles?
  1. Two angles that add to be 180°
  2. Two angles that have a difference of 90°
  3. Two angles add to be 90°
  4. Two angles that have a difference of 180°
Grade 10 Angles
An angle that measures between 0 and 90 degrees.
  1. acute
  2. complementary
  3. right
  4. straight
  5. none of the above
Grade 10 Similar and Congruent Figures
A triangle where B=30° will be similar to a triangle where C=60°.
Right Triangle ABC v1
  1. Always
  2. If the side lengths are the same
  3. If they are right triangles
  4. Never
Grade 10 Angles
An angle that measures exactly 90 degrees.
  1. acute
  2. obtuse
  3. straight
  4. complementary
  5. none of the above
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