Rigid Transformations

Call the first tile on the left the parent tile. Moving from left to right, which transformation or composition of transformations on the parent tile describes the pattern below?

• Reflection across the right edge of the tile repeated three times

• Translation one tile-width to the right repeated three times.

• Rotation 90° counterclockwise about the upper right corner of the tile repeated three times.

• A translation one tile-width to the right followed by a reflection over the bottom edge. Repeat this composition again.

Tags

CCSS.8.G.A.3

Look closely to see the difference between this question and the last — at first glance, you might think they are the same. Call the first tile on the left the parent tile. Moving from left to right, which transformation or composition of transformations on the parent tile describes the pattern below?

• Reflection across the right edge of the tile repeated three times.

• Translation one tile-width to the right repeated three times.

• Rotation 90° counterclockwise about the center of the tile repeated three times.

• A translation one tile-width to the right followed by a reflection over the bottom edge. Repeat this composition again.

Tags

CCSS.8.G.A.3

Again, this question is a variation of the tile transformation situation. Call the first tile on the left the parent tile. Moving from left to right, which transformation or composition of transformations on the parent tile describes the pattern below?

• Reflection across the right edge of the tile repeated three times.

• Translation one tile-width to the right repeated three times.

• Rotation 90° counterclockwise about the upper right corner of the tile repeated three times.

• A translation one tile-width to the right followed by a reflection over the bottom edge. Repeat this composition again.

Tags

CCSS.8.G.A.3

Call the first tile on the left the parent tile. Moving from left to right, which transformation or composition of transformations on the parent tile describes the pattern below?

• Reflection across the right edge of the tile repeated three times.

• Translation one tile-width to the right repeated three times.

• Rotation 90° counterclockwise about the upper right corner of the tile repeated three times.

• A translation one tile-width to the right followed by a reflection over the top or bottom edge. Repeat this composition again.

Tags

CCSS.8.G.A.3

A composition of a translation and a reflection is called a

• reflection

• glide reflection

• translation

• I do not know

Tags

CCSS.8.G.A.3

Which of the following phrases can be used to correctly complete the statement? Select all that apply.

The square tile shown here could have been created using_______________

• a vertical line of reflection through the center of the square.

• a horizontal line of reflection through the center of the square.

• a reflection across a diagonal of the square.

• a rotation 90°

  clockwise about the center of the square

• a rotation 180°

  clockwise about the center of the square

Tags

CCSS.HSG.CO.A.3

AP'=

• $y$

• $x+y$

• $2\left(x+y\right)$

• $x$

Tags

CCSS.8.G.A.3

BP"=

• $y$

• $x+y$

• $2\left(x+y\right)$

• $x$

Tags

CCSS.8.G.A.3

AB=

• $y$

• $x+y$

• $2\left(x+y\right)$

• $x$

Tags

CCSS.8.G.A.3

PP"=

• $y$

• $x+y$

• $2\left(x+y\right)$

• $x$

Tags

CCSS.8.G.A.3