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Common Core Standard HSG-CO.B.6 Questions

Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

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Grade 11 Symmetry and Transformations CCSS: HSG-CO.B.6
Which of these transformations is not rigid?
  1. Translate 4 to the left and rotate [math]180 deg[/math]
  2. Reflect across the [math]x[/math] axis and translate down by 6
  3. Rotate [math]90 deg[/math] clockwise and dilate by a factor of 2
  4. Translate down 2, reflect across the [math]y[/math] axis, and rotate [math]180 deg[/math]
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 [math]90 deg[/math] clockwise and dilate by a factor of 2
  2. Translate 4 to the left and rotate [math]180 deg[/math]
  3. Translate down 2, reflect across the [math]y[/math] axis, and rotate [math]180 deg[/math]
  4. Reflect across the [math]x[/math] axis and translate down by 6
Grade 11 Symmetry and Transformations CCSS: HSG-CO.B.6
A pentagon is translated down 10, dilated 0.8, and reflected across the [math]x[/math]-axis.
  1. The transformation is non-rigid, the shape changes size
  2. The transformation is rigid, the shape is congruent
  3. The transformation is non-rigid, the shape does not change size
  4. The transformation is rigid, it only translates
Grade 11 Symmetry and Transformations CCSS: HSG-CO.B.6
Which of the following illustrates a non-rigid transformation?
  1. Shooting a hockey puck
  2. Growing a plant
  3. Bouncing a ball
  4. Jumping on a trampoline
Grade 11 Symmetry and Transformations CCSS: HSG-CO.B.6
Which of the following illustrates a rigid transformation?
  1. Inflating a balloon
  2. Building a house
  3. Firing a gun
  4. Filling a water tank

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