Question

plot the following points on a sheet of graph paper and connect them in the order given. then connect points a and d.
a(-3,4), b(1,6), c(5,-2), and d(1,-4)
a. if abcd is rotated 90° clockwise (↻) about the origin to form abcd, what are the coordinates of the vertices of abcd? graph on the coordinate plane.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree clockwise rotation about the origin is $(x,y)\to(y, - x)$.

Step2: Rotate point A

For point $A(-3,4)$, using the rule $(x,y)\to(y, - x)$, we get $A'(4,3)$.

Step3: Rotate point B

For point $B(1,6)$, applying the rule $(x,y)\to(y, - x)$, we have $B'(6, - 1)$.

Step4: Rotate point C

For point $C(5,-2)$, by the rule $(x,y)\to(y, - x)$, we obtain $C'(-2,-5)$.

Step5: Rotate point D

For point $D(1,-4)$, using the rule $(x,y)\to(y, - x)$, we get $D'(-4,-1)$.

Answer:

$A'(4,3)$, $B'(6, - 1)$, $C'(-2,-5)$, $D'(-4,-1)$