Question

rotate points a and b using (0, 0) as the center of rotation. now, record the coordinates of the points in the image, a and b. original point rotated point a (-8, -6) a ( , ) b (-5, -8) b ( , )

Explanation:

Step1: Recall rotation rule for 180 - degree rotation

For a 180 - degree rotation about the origin $(0,0)$, the rule is $(x,y)\to(-x,-y)$.

Step2: Rotate point A

Given $A=(-8,-6)$. Using the rule $(x,y)\to(-x,-y)$, we have $x = - 8$ and $y=-6$. Then $A'=(8,6)$.

Step3: Rotate point B

Given $B=(-5,-8)$. Using the rule $(x,y)\to(-x,-y)$, we have $x=-5$ and $y = - 8$. Then $B'=(5,8)$.

Answer:

A': (8,6)
B': (5,8)