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 point A$(-8,-6)$, applying the rule: $x=-8,y = - 6$, then $A'=(8,6)$.

Step3: Rotate point B

Given point B$(5,-8)$, applying the rule: $x = 5,y=-8$, then $B'=(-5,8)$.

Answer:

A'$(8,6)$
B'$(-5,8)$