Transformations Study Guide

What are the rules and graphing techniques for reflections?

• Reflections involve flipping a shape over a line to create a mirror image.

• Reflections involve rotating a shape around a point to create a duplicate image.

• Reflections involve sliding a shape along a plane to create a parallel image.

• Reflections involve enlarging a shape to create a scaled image.

What are the rules and graphing techniques for rotations?

• Rotations involve turning a shape around a fixed point.

• Rotations involve changing the size of a shape.

• Rotations involve reflecting a shape over a line.

• Rotations involve translating a shape to a new position.

What does mapping a shape to another shape with 2 transformations involve?

• It involves using two transformations to change one shape into another.

• It involves using only one transformation to change one shape into another.

• It involves using three transformations to change one shape into another.

• It involves no transformations to change one shape into another.

What does mapping a shape to itself mean?

• Mapping a shape to itself means applying transformations that result in the shape remaining unchanged.

• Mapping a shape to itself means changing its size and orientation.

• Mapping a shape to itself means rotating it by 90 degrees.

• Mapping a shape to itself means reflecting it over an axis.

Which of the following transformations are rigid?

• Translation and rotation

• Dilation and reflection

• Shear and stretch

• Translation and dilation

What is the coordinate rule for a translation of 6 left and 4 down?

• (x, y) -> (x - 6, y - 4)

• (x, y) -> (x + 6, y + 4)

• (x, y) -> (x - 4, y - 6)

• (x, y) -> (x + 4, y + 6)

List the 3 rotation coordinate rules.

• 90° clockwise: (x, y) -> (y, -x); 180°: (x, y) -> (-x, -y); 270° clockwise: (x, y) -> (-y, x)

• 90° clockwise: (x, y) -> (-y, x); 180°: (x, y) -> (-x, -y); 270° clockwise: (x, y) -> (y, -x)

• 90° clockwise: (x, y) -> (y, x); 180°: (x, y) -> (-x, -y); 270° clockwise: (x, y) -> (-y, -x)

• 90° clockwise: (x, y) -> (-x, y); 180°: (x, y) -> (x, -y); 270° clockwise: (x, y) -> (y, x)

What is the coordinate rule for a dilation centered at (0, 0) with a scale factor of 3?

• (x, y) -> (3x, 3y)

• (x, y) -> (x/3, y/3)

• (x, y) -> (x+3, y+3)

• (x, y) -> (x-3, y-3)

Mapping a figure to itself means:

• Transforming the figure so that it coincides with its original position

• Changing the size of the figure

• Rotating the figure to a new position

• Reflecting the figure over a line

Which transformations preserve the shape and size of a figure? Which transformations are isometries?

• Translation, rotation, and reflection

• Dilation and translation

• Shear and stretch

• Reflection and dilation