What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?
a. (6, 1)
b. (-6, -1)
c. (-1, -6)
d. (-1, 6)
Which rule describes a translation that is 3 units to the right and 5 units down?
a. (x, y) → (x - 3, y + 5)
b. (x, y) → (x + 3, y - 5)
c. (x, y) → (x + 3, y + 5)
d. (x, y) → (x - 3, y - 5)
The rule for a 180 degree rotation (either clockwise or counter clockwise) is (x, y) --> (-x, -y).
Following this rule for the first question would give you D. (-1, 6) for your answer.
For a translation, you add to x if you move right, subtract from x if you move left, add to y if you move up, and subtract from y if you move down.
Following this rule, you would get B. (x, y) --> (x + 3, y - 5)
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