Question
What will be the new position of the given point (1, –9) after rotating it 90° counterclockwise about the origin and then translating 4 units right?
- (9, -1)
- (13, -1)
- (-9, -1)
- (13, 1)
Hint:
A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.
The correct answer is: (13, 1)
The new position of the given point (1, –9) after rotating it 90° counterclockwise about the origin is (9,1) and then translating 4 units right gives the point (13,1).
Hence, the correct option is B.
A point can be reflected about any of the two axes or about any line or rotated about the origin.
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