Performing transformations

Pick a rule to describe the rotation

• 90 degrees clockwise around the origin

• 90 degrees counter clockwise around the origin

• 180 degrees around the origin

Select the signs for x and y that correctly map the preimage (blue) onto the image (red).

• (-x, -y)

• (x, -y)

• (-x, y)

• no reflection

Which rule would result in a clockwise rotation of 90° about the origin?

• (x, y) → (y, x)
• (x, y) → (4x, 4y)
• (x, y) → (x, -y)
• (x, y) → (x + 4, y + 4)

A figure is graphed on a coordinate grid as shown. The figure is rotated  $180\degree$  clockwise withthe origin as the center of rotation to create a new figure. Which rule describes this transformation?

•  $\left(x,y\right)\rightarrow\left(-x,-y\right)$  

•  $\left(x,y\right)\rightarrow\left(x,-y\right)$  

•  $\left(x,y\right)\rightarrow\left(-y,-x\right)$  

•  $\left(x,y\right)\rightarrow\left(-x,y\right)$  

Which of the following is NOT a rigid motion?

• Rotation

• Reflection

• Translation

• Dilation

Select the following transformations that are also rigid motions

• Rotation

• Translation

• Reflection

• Dilation

Identify the transformation from B to A.

• 90^o Counter Clockwise Rotation
• 180^o Rotation
• 270^o Counter clockwise Rotation
• 360^o Rotation

A RIGID motion is a transformation that preserves:

• The distance between points

• The orientation of the points

• The corrdinates of the points

• The size but not the shape of the figure

Describe the rotation.

• Rotate the figure around the given point 90 degrees counterclockwise.

• Rotate the figure around the given point 90 degrees clockwise.

• Rotate the figure around the given point 180 degrees.

Triangle D is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D