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Eleventh Grade (Grade 11) Symmetry and Transformations Questions

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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
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 [math] \ \ \ [/math] 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 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.
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