Geometric Transformations

The rule for dilation is  
(x, y) --> _

• (kx, ky)

• (x, -y)

• (-x, y)

• (x+a, y+b)

The rule for reflection over the x-axis is  
(x, y) --> _

• (-x, y)

• (x, -y)

• (y, x)

• (-y, -x)

The rule for reflection over the y-axis is  
(x, y) --> _

• (-x, y)

• (x, -y)

• (y, x)

• (-y, x)

The rule for rotation of 90 degrees counterclockwise is  
(x, y) --> _

• (y, -x)

• (-y, x)

• (x, -y)

• (-x, y)

The rule for rotation of 180 degrees is  
(x, y) --> _

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

The rule for rotation of 270 degrees counterclockwise is  
(x, y) --> _

• (y, x)

• (-y, x)

• (y, -x)

• (x, -y)

The rule for rotation of 90 degrees clockwise is  
(x, y) --> _

• (y, -x)

• (-y, x)

• (x, -y)

• (-x, y)

Which rule describes the action of the coordinates when a figure is reflected over the line y = x?

• (x, y)→(-y, -x)

• (x, y)→(-x, y)

• (x, y)→(-x, -y)

• (x, y)→(y, x)

Which rule describes the action of the coordinates when a figure is reflected over the line y = -x?

• (x, y)→(y, x)

• (x, y)→(-y, -x)

• (x, y)→(-x, -y)

• (x, y)→(y, -x)

A transformation that does not change the size or shape of a pre-image (pre-image and image are congruent) is called

• isometry

• reflections

• rotations

• dilation