Question

1. translate it by moving it left 3 and down 4.
2. rotate △car if c(-1,-4), a(2,6), r(-4,-2) 180° around the origin.
3. what would be the new coordinates of
4. what would be the coordinates of

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180° around the origin, the new - point is $(-x,-y)$.

Step2: Apply rule to point C

For point C$(-1,-4)$, the new - point C' is $-(-1),-(-4)=(1,4)$.

Step3: Apply rule to point A

For point A$(2,6)$, the new - point A' is $(-2,-6)$.

Step4: Apply rule to point R

For point R$(-4,-2)$, the new - point R' is $-(-4),-(-2)=(4,2)$.

Answer:

The new coordinates of $\triangle CAR$ after a 180° rotation around the origin are C'(1,4), A'(-2,-6), R'(4,2).