Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

original point\trotation about the origin 90° clockwise (9, 5) (-3, 3) …

Question

original point\trotation about the origin 90° clockwise
(9, 5)
(-3, 3)
(-2, -4)
(x, y)

Explanation:

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 $(y,-x)$.

Answer:

Original PointRotation About the Origin 90° Clockwise
$(-3,3)$$(3,3)$
$(-2,-4)$$(-4,2)$
$(x,y)$$(y,-x)$