Question

1. rotate trapezoid abcd. graph the image and give the order pairs. 90° counterclockwise rotation a(2,5) b(2, - 1) c(4,0) d(4,4) a:__, b: c:, d:__

Explanation:

Step1: Recall rotation rule

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

Step2: Apply rule to point A(2,5)

$x = 2,y = 5$. Using the rule, $A'=(-5,2)$.

Step3: Apply rule to point B(2, - 1)

$x = 2,y=-1$. Using the rule, $B'=(1,2)$.

Step4: Apply rule to point C(4,0)

$x = 4,y = 0$. Using the rule, $C'=(0,4)$.

Step5: Apply rule to point D(4,4)

$x = 4,y = 4$. Using the rule, $D'=(-4,4)$.

Answer:

$A':(-5,2)$
$B':(1,2)$
$C':(0,4)$
$D':(-4,4)$