QUESTION IMAGE
Question
original point\trotation about the origin 90° clockwise
(9, 5)
(-3, 3)
(-2, -4)
(x, y)
Step1: Recall rotation rule
The rule for a 90 - degree clockwise rotation about the origin for a point $(x,y)$ is $(x,y)\to(y, - x)$.
Step2: Apply rule to $(9,5)$
For the point $(9,5)$, substituting $x = 9$ and $y = 5$ into the rule, we get $(5,-9)$.
Step3: Apply rule to $(-3,3)$
For the point $(-3,3)$, substituting $x=-3$ and $y = 3$ into the rule, we get $(3,3)$.
Step4: Apply rule to $(-2,-4)$
For the point $(-2,-4)$, substituting $x=-2$ and $y=-4$ into the rule, we get $(-4,2)$.
Step5: General form
For the point $(x,y)$, the rotated point is $(y,-x)$.
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| Original Point | Rotation About the Origin 90° Clockwise |
|---|---|
| $(-3,3)$ | $(3,3)$ |
| $(-2,-4)$ | $(-4,2)$ |
| $(x,y)$ | $(y,-x)$ |