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Tenth Grade (Grade 10) Geometry and Measurement Questions

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Grade 10 Angles
What is the definition of supplementary 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 Three Dimensional Shapes
Match each three dimensional shape with a fact that is true about it.
__ Triangular Pyramid A. Its volume is the length of any side raised to the power of 3.
__ Sphere B. All points on its surface are equidistant from its center.
__ Cube C. It has four vertices.
__ Cylinder D. It has two edges but no vertices.
Grade 10 Coordinate Geometry
What is the slope of the line [math]y=2x+9?[/math]
  1. 2
  2. 0
  3. 1
  4. 3
Grade 10 Angles
What angle is complimentary to [math]32 deg[/math]?
  1. [math]-32 deg[/math]
  2. [math]148 deg[/math]
  3. [math]58 deg[/math]
  4. [math]32 deg[/math]
Grade 10 Circles
In circle O, which is the chord?
Circle ABCD
  1. AB
  2. OD
  3. AC
  4. AO
Grade 10 Symmetry and Transformations CCSS: HSG-CO.B.6
Are the shapes congruent? If so, what transformations take the first image and transform it to the second image?

2x6 Q2 Horizontal [math] \ \ \ [/math] 2x6 Q4 Horizontal
  1. No, they are not congruent.
  2. Yes, a 180° rotation about the origin.
  3. Yes, a reflection about the y-axis and then a translation of 2 units to the right.
  4. Yes, a vertical translation of -4 units and then a horizontal translation of -2 units.
Grade 10 Symmetry and Transformations CCSS: HSG-CO.B.7
Which of the following transformations would show if [math]Delta ABC ~= Delta ADC ?[/math]
Diamond ABCD
  1. Translate triangle ABC down by vertical distance between [math]bar{AC}[/math] and point B.
  2. Reflect triangle ABC over the line containing [math]bar{AC}[/math].
  3. Rotate triangle ABC 180° around midpoint of [math]bar{AC}[/math].
  4. Translate triangle ABC down by half the vertical length between [math]bar{AC}[/math] and point B, and then rotate it 180° about its centroid.
Grade 10 Circles
What is the name of this segment drawn on the circle?
Circle with Radius
  1. diameter
  2. half-diameter
  3. radius
  4. midline
  5. chord
Grade 10 Angles
An angle measuring 180 degrees.
  1. obtuse
  2. acute
  3. right
  4. straight
  5. none of the above
Grade 10 Quadrilaterals
Which properties of parallelogram ABCD are true?
Parallelogram ABCD v1
  1. Sides AB and DC are parallel.
  2. Angles B and C are supplementary.
  3. Angle A equals Angle C.
  4. The sum of all the angles is 360 degrees.
  5. All of the above
Grade 10 Angles
Which of these is not a type of angle?
  1. acute
  2. obtuse
  3. skew
  4. right
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.2
A translation is best described as
  1. sliding.
  2. flipping.
  3. spinning.
  4. warping.
Grade 10 Symmetry and Transformations CCSS: HSG-CO.B.6
What transformations to the first image would show that these two figures are congruent? Choose all that apply.

T Q2 Vertical Inverted [math] \ \ [/math] T Q4 Vertical
  1. They are not congruent.
  2. 270° counter-clockwise rotation about the origin.
  3. Horizontal translation by +5 units, reflection over the x-axis.
  4. Dilate by 1.5, reflect over the line y = x.
Grade 10 Angles
[math]ang1 and ang7[/math] are what kind of angle pair?
Parallel Lines - Skew Transversal
  1. Supplementary Angles
  2. Alternate Interior Angles
  3. Alternate Exterior Angles
  4. Corresponding
  5. Consecutive Interior Angles
Grade 10 Similar and Congruent Figures
In the following diagram, quadrilaterals ABED and BFDC are both parallelograms. Match the sides or angles which are congruent.
Parallelogram ABCDEF v1
__ [math]bar{AB}[/math] A. [math]ang 2[/math]
__ [math]ang A[/math] B. [math]bar{ED}[/math]
__ [math]ang 1[/math] C. [math]ang E[/math]
__ [math]bar{AC}[/math] D. [math]ang DFE[/math]
__ [math]ang BCA[/math] E. [math]bar{FE}[/math]
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