Question

fill out all of the corresponding points of the image figure.
animate rotation again
pre - image image
(-3, -4) → (□,□)
(-2, -3) → (□,□)
(-4, -3) → (□,□)

Explanation:

Step1: Observe rotation center

The rotation seems to be around the origin $(0,0)$.

Step2: Use rotation rules

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

Step3: Apply rule to first point

For the point $(-3,-4)$, applying the rule: $(-(-3),-(-4))=(3,4)$.

Step4: Apply rule to second point

For the point $(-2,-3)$, applying the rule: $(-(-2),-(-3))=(2,3)$.

Step5: Apply rule to third point

For the point $(-4,-3)$, applying the rule: $(-(-4),-(-3))=(4,3)$.

Answer:

$(-3,-4)\to(3,4)$
$(-2,-3)\to(2,3)$
$(-4,-3)\to(4,3)$