Question

1. a(-2,4), b(-4,1), c(-1,1)

180 degrees counterclockwise
a ( , )
b ( , )
c ( , )

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree counter - clockwise rotation about the origin $(x,y)\to(-x,-y)$.

Step2: Apply rule to point A

For $A(-2,4)$, $x=-2,y = 4$. Then $A'=(-(-2),-4)=(2,-4)$.

Step3: Apply rule to point B

For $B(-4,1)$, $x=-4,y = 1$. Then $B'=(-(-4),-1)=(4,-1)$.

Step4: Apply rule to point C

For $C(-1,1)$, $x=-1,y = 1$. Then $C'=(-(-1),-1)=(1,-1)$.

Answer:

A' (2, -4)
B' (4, -1)
C' (1, -1)