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Eleventh Grade (Grade 11) Geometry and Measurement Questions

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Grade 11 Three Dimensional Shapes
Grade 11 Points, Lines, and Planes
Grade 11 Circles
If the points (1, 2) and (-5, 2) are endpoints of a diameter of a given circle, what is the equation of this circle?
  1. (x-1)2+(y-2)2=1
  2. (x+5)2+(y-2)2=9
  3. (x+2)2+(y-2)2=9
  4. (x+3)2+y(-1)2=3
Grade 11 Volume CCSS: HSG-GMD.A.3
A rectangular pyramid is 253 ft by 372 ft and 132 ft tall. What is the volume of the pyramid?
  1. 4,104,141 ft3
  2. 3,265,124 ft3
  3. 4,008,333 ft3
  4. 4,141,104 ft3
Grade 11 Symmetry and Transformations CCSS: HSG-CO.B.6
Which of these transformations will create a shape which is not congruent with the original?
  1. Rotate 90° clockwise and dilate by a factor of 2
  2. Translate 4 to the left and rotate 180°
  3. Translate down 2, reflect across the y axis, and rotate 180°
  4. Reflect across the x axis and translate down by 6
Grade 11 Points, Lines, and Planes
Grade 11 Symmetry and Transformations CCSS: HSG-CO.B.6
Choose all the correct ways that the first image can be transformed to show that it is congruent to the second image.

T Q2 Vertical    T Q4 Horizontal Inverted
  1. 90° counter-clockwise rotation about the origin, reflection over the y-axis.
  2. 90° clockwise rotation about the origin, reflection over the x-axis.
  3. Reflection about the line y = x.
  4. 180° rotation about the origin, 90° rotation counter-clockwise about the point (2.5, -2.5).
Grade 11 Points, Lines, and Planes
What angle is formed by the radius and tangent of a circle?
  1. 0°
  2. 45°
  3. 90°
  4. 180°
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