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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. [math]14137 \ "m"^3[/math]
  2. [math]1767 \ "m"^3[/math]
  3. [math]994 \ "m"^3[/math]
  4. [math]563 \ "m"^3[/math]
Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2
Are these two triangles similar?
Triangle ABC: [math]ang A=28°, ang B=91° [/math]
Triangle DEF: [math]ang D=28°, ang E=61° [/math]
  1. Yes, the triangles are similar.
  2. No, the triangles are not similar.
Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
Using the measurements given below, find the hypotenuse of the triangle.
Leg = 20 units
Leg = 21 units
  1. 400 units
  2. 841 units
  3. 29 units
Grade 10 Coordinate Geometry CCSS: HSG-GPE.B.4
For the circle centered at [math](-1,3)[/math] with radius 3, which of the following is true about the point [math](0.5, 0.2) ?[/math]
  1. It lies on the circle.
  2. It lies in the circle.
  3. It lies outside the circle.
  4. Not enough information.
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 Circles CCSS: HSG-C.A.4
Which line segment is tangent to circle O?
Circle ABCD
  1. [math]bar(AB[/math]
  2. [math]bar(AC[/math]
  3. [math]bar(AD[/math]
  4. [math]bar(AO[/math]
Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
If AC = 8 m and AB = 12 m, what is the length of [math]bar{CD}[/math], rounded to one decimal place?
Right Triangle ABCD
  1. 2.7 m
  2. 5.3 m
  3. 6.0 m
  4. 8.0 m
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 [math]180 deg[/math]
  2. Two angles that have a difference of [math]90 deg[/math]
  3. Two angles add to be [math]90 deg[/math]
  4. Two angles that have a difference of [math]180 deg[/math]
Grade 10 Pythagorean Theorem and Applications CCSS: HSG-SRT.C.8
The circle shown has a circumference of 47.1 in. What is the area of square ABCD which is inscribed in the circle? Round the answer to one decimal place.
Composite Shapes 11
  1. Not enough information.
  2. 56.3 squared inches
  3. 112.4 squared inches
  4. 449.4 squared inches
Grade 10 Angles
Which of these is not a type of angle?
  1. acute
  2. obtuse
  3. skew
  4. right
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
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