Question

the coordinates of the vertices of a quadrilateral are h (2,2), t (2, -3), e (-4, -2), and w (-4, 5). the figure is rotated 270° counterclockwise with the origin as the center of rotation to create quadrilateral htew. what are the coordinates of the vertices of quadrilateral htew? h = t =

Explanation:

Step1: Recall rotation rule

The rule for a 270 - degree counter - clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Find coordinates of $H'$

For point $H(2,2)$, applying the rule: $x = 2,y = 2$. Then $H'\to(2,-2)$.

Step3: Find coordinates of $T'$

For point $T(2,-3)$, applying the rule: $x = 2,y=-3$. Then $T'\to(-3,-2)$.

Step4: Find coordinates of $E'$

For point $E(-4,-2)$, applying the rule: $x=-4,y = - 2$. Then $E'\to(-2,4)$.

Step5: Find coordinates of $W'$

For point $W(-4,5)$, applying the rule: $x=-4,y = 5$. Then $W'\to(5,4)$.

Answer:

$H'=(2,-2)$
$T'=(-3,-2)$
$E'=(-2,4)$
$W'=(5,4)$