Sequences of Transformations Rigid Motions

Identify the sequences of transformations from the red image to the blue image.

• reflection over the y-axis then rotation of $90\degree$  counterclockwise

• translation of 2 units to the right then rotation of $90\degree$ clockwise

• Reflection across the x-axis

• Translate 3 units right

• Rotate 90^o counterclockwise around the origin

• Reflection across the y-axis.

Determine a series of transformation that would map polygon ABCDE onto polygon A'B'C'D'E?

• A translation of 6 unit up followed by a rotation centered at the origin of 180 degrees

• A reflection over the x - axis followed by a translation left 6 units left

• A reflection over the x - axis followed by a reflection over the y - axis

• A translation of 6 units left followed by a rotation centered at the origin 180 degrees

The triangle is reflected over the line y=x and then rotated 90 clockwise around the origin. Find the final coordinates for L''.

• (1,-2)

• (1,2)

• (-1,-2)

• (-2,-1)

Select all the possible transformations that map EFGH to E'F'G'H'.

• Y-axis reflection followed by translation 6 to the right and 3 down

• X-axis reflection  followed by translation 4 to the left

• 180 rotation followed by translation 6 to the right

• 180 rotation followed by y-axis reflection

Which type of rigid motion is the equivalent of three reflections in two parallel lines and another line perpendicular to them?

• glide reflection

• translation

• rotation

• reflection

One possible sequence of rigid motions is to reflect the red figure in the y-axis and then translate the image ____ units down.

• 1

• 2

• 3

• 4

Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the y-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?

• Rotation 270° counterclockwise around the origin

• Reflection across the line y = -x

• Rotation 180° counterclockwise around the origin

• Reflection across the line y = x

What is the sequence of transformations?

• Reflect over the y then reflect over the x

• Reflect over the x then reflect over the y

• Translate 4 units left then rotate 90˚

• Rotate 90˚ then reflect over the x

If the rectangle were rotated 90º counterclockwise about the origin and then reflected over the x-axis, what would be the location of K

• (1, -6)

• (1, 6)

• (6, -1)

• (-6, -1)