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Symmetry and Transformations Questions - All Grades

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Grade 8 Symmetry and Transformations CCSS: 8.G.A.3
Grade 8 Symmetry and Transformations CCSS: 8.G.A.3
The second image was created from the first using which transformation(s)?
T Q3 Vertical
T Q4 Vertical
  1. Rotation, Translation, and Dilation
  2. Translation
  3. Rotation and then Translation
  4. No possible transformations
Grade 8 Symmetry and Transformations CCSS: 8.G.A.3
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    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 ΔABCΔADC?
Diamond ABCD
  1. Translate triangle ABC down by vertical distance between ¯AC and point B.
  2. Reflect triangle ABC over the line containing ¯AC.
  3. Rotate triangle ABC 180° around midpoint of ¯AC.
  4. Translate triangle ABC down by half the vertical length between ¯AC and point B, and then rotate it 180° about its centroid.
Grade 8 Symmetry and Transformations CCSS: 8.G.A.3
The second image was created from the first using which transformation(s)?
T Q3 Vertical
1x3 Q3 Vertical
  1. Rotation
  2. Translation and Dilation
  3. Reflection and Translation
  4. No possible transformations
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1
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   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 8 Symmetry and Transformations CCSS: 8.G.A.3
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1
Grade 8 Symmetry and Transformations CCSS: 8.G.A.3
The second image was created from the first using which transformation(s)?
T Q3 Vertical
T Q4 Vertical Inverted
  1. Rotation, Translation, and Dilation
  2. Translation
  3. Reflection and Translation
  4. No possible transformations
Grade 8 Symmetry and Transformations CCSS: 8.G.A.3
The second image was created from the first using which transformation(s)?
2x6 Q3 Vertical
1x3 Q3 Vertical
  1. Rotation
  2. Translation and Dilation
  3. Reflection and Translation
  4. No possible transformations
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