Answer:
D.Clockwise
Step-by-step explanation:
90 Degree Rotation
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
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Rotations
Rotating shapes about the origin by multiples of 90°
Learn how to draw the image of a given shape under a given rotation about the origin by any multiple of 90°.
Introduction
In this article we will practice the art of rotating shapes. Mathematically speaking, we will learn how to draw the image of a given shape under a given rotation.
This article focuses on rotations by multiples of 90^\circ90∘90, degrees, both positive (counterclockwise) and negative (clockwise).
Part 1: Rotating points by 90^\circ90∘90, degrees, 180^\circ180∘180, degrees, and -90^\circ−90∘minus, 90, degrees
Let's study an example problem
We want to find the image A'A′A, prime of the point A(3,4)A(3,4)A, left parenthesis, 3, comma, 4, right parenthesis under a rotation by 90^\circ90∘90, degrees about the origin.
Let's start by visualizing the problem. Positive rotations are counterclockwise, so our rotation will look something like this:
yyxxA'A′\blueD{A(3,4)}A(3,4)
Cool, we estimated A'A′A, prime visually. But now we need to find exact coordinates. There are two ways to do this.
Solution method 1: The visual approach
We can imagine a rectangle that has one vertex at the origin and the opposite vertex at AAA.
\small{1}1\small{2}2\small{3}3\small{4}4\small{5}5\small{6}6\small{7}7\small{8}8\small{9}9\small{\llap{-}2}-2\small{\llap{-}3}-3\small{\llap{-}4}
