Transformations in Special Cases

The point Z'(4, -2) is the image after a 90 degree (ccw) rotation about the origin. What is the pre-image, Z?

• Z'(2, 4)

• Z'(-4, 2)

• Z'(-2, -4)

• Z'(-4, -2)

Reflect the point (-1, 2) over the line y = x

• (-1, -2)

• (1, 2)

• (1, -2)

• (2, -1)

Rotate the point (-3,-4) around the point (2, 1) 180 degrees. State the image of the point.

• (-4,-3)

• (7, 6)

• (5,5)

• (3,4)

P(1, -5) is rotated 270° counterclockwise with (-3, 4) as the center of rotation. What are the coordinates of P'?

• (1, 4)

• (-12, 0)

• (-5, -1)

• (6, 8)

Using the graph above, rotate ABCD about point C 180 degrees. Which quadrant will contain its image?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Using the graph above, rotate triangle ABC about point A 270 degrees counterclockwise. Which quadrant will contain Point C?

• Quadrant I

• Quadrant II

• Quadrant III

• Quadrant IV

Find the image of triangle ABC after rotating 90 degrees counterclockwise about the point (1, -1). What are the coordinates of C' ?

• (-1, -4)

• (2, -3)

• (4, 3)

• (4, 1)

What is the rule for a reflection across the line y = x?

• (x, y) becomes (x, -y)

• (x, y) becomes (-x, y)

• (x, y) becomes (-x, -y)

• (x, y) becomes (y, x)

Point C is currently located at (3,1). What are the new coordinates of C' if it's reflected over the line y = -x?

• (3, -1)

• (-1, -3)

• (-3, -1)

• (1, 3)

What is the rule for the following reflection? 

• Reflection across      x-axis
• Reflection across        y-axis
• Reflection across            y = x
• Reflection across          y = −x