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Common Core Standard HSG-CO.A.3 Questions

Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

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Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.3
Which of the following are valid transformations that will always map a rectangle onto itself? There may be more than one correct answer.
  1. Rotate about its center 180°.
  2. Rotate about its center 90°.
  3. Reflect over either diagonal.
  4. Reflect over either line segment joining midpoints of opposite sides.
Grade 10 Symmetry and Transformations CCSS: HSG-CO.A.3
Which of the following shapes has only one transformation (rotation less than 360° or reflection) that will map it onto itself?
  1. Equilateral triangle
  2. Isosceles trapezoid
  3. Regular dodecagon
  4. Rectangle
Grade 9 Symmetry and Transformations CCSS: HSG-CO.A.3
Which of the following could be used to map this parallelogram onto itself?
Parallelogram v2
  1. reflection
  2. rotation
  3. reflection and rotation
  4. neither

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