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Symmetry and Transformations Questions - All Grades

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Grade 10 Symmetry and Transformations CCSS: HSG-CO.B.8
You are given two triangles, ABC and DEF. If you know that ¯AB¯DE,¯BC¯EF and BE. Which of the following could be true? Select all that apply.
  1. There is not enough information to make any conclusions.
  2. A dilation and translation map triangle ABC onto triangle DEF.
  3. A translation and rotation map triangle ABC onto triangle DEF.
  4. A rotation and reflection map triangle ABC onto triangle DEF.
Grade 10 Symmetry and Transformations CCSS: HSG-CO.B.6
Obtuse Triangle ABC v2       Scalene Triangle v3

In trying to determine if the two triangle are congruent, which transformations would allow you to superimpose triangle ABC on the other triangle? Choose all correct answers.
  1. Through a series of rotations and reflections.
  2. Through a series of translations and dilations.
  3. Through a series of translations.
  4. Through a series of rotations (about different points).
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1, 8.G.A.1a
What is the position of point K relative to point L when the line is rotated 270° clockwise?
Line KL
  1. K is above L.
  2. K is below L.
  3. K is to the left of L.
  4. K is to the right of L.
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1, 8.G.A.1a
What is the position of point K relative to point L when the line is rotated 360° counterclockwise?
Line KL
  1. K is above L.
  2. K is below L.
  3. K is to the left of L.
  4. K is to the right of L.
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1
Grade 4 Symmetry and Transformations CCSS: 4.G.A.3
Grade 4 Symmetry and Transformations CCSS: 4.G.A.3
Grade 4 Symmetry and Transformations CCSS: 4.G.A.3
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1, 8.G.A.1a
What happens to a vertical line if you rotate it 225° counterclockwise?
  1. Its image is a vertical line.
  2. Its image is a horizontal line.
  3. Its image is a diagonal line sloping down from left to right.
  4. Its image is a diagonal line sloping down from right to left.
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1, 8.G.A.1a
What happens to a vertical line if you rotate it 360° counterclockwise?
  1. Its image is a vertical line.
  2. Its image is a horizontal line.
  3. Its image is a diagonal line sloping down from left to right.
  4. Its image is a diagonal line sloping down from right to left.
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1, 8.G.A.1a
What happens to a horizontal line if you rotate it 270° counterclockwise?
  1. Its image is a vertical line.
  2. Its image is a horizontal line.
  3. Its image is a diagonal line sloping down from left to right.
  4. Its image is a diagonal line sloping down from right to left.
Grade 8 Symmetry and Transformations CCSS: 8.G.A.4

This question is a part of a group with common instructions. View group »

Point A' has coordinates (-8, 8). What transformation of point A could produce this image?
  1. a half-turn rotation
  2. a translation to the left
  3. a reflection about the y-axis
  4. not enough information to determine
Grade 8 Symmetry and Transformations CCSS: 8.G.A.1
Grade 6 Symmetry and Transformations
What is a rotation?
  1. Turning of a shape
  2. Sliding of a shape
  3. Flipping of a shape
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