Answer:
When we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
Step-by-step explanation:
We know that 180 Degree Rotation.
We know that when we rotate a point, let say P(x, y), 180 degrees counterclockwise about the origin, the coordinates of point P(x, y) transformed to P'(-x, -y).
In other words, the sign of both x and y coordinates are reversed.
Thus, the rule is:
P(x, y) → P'(-x, -y)
Given the point (1, 4)
P(x, y) → P'(-x, -y)
A(1, 4) → A'(-1, -4)
Thus, when we rotate a point A(1, 4) 180 degrees counterclockwise about the origin, the coordinates of point A(1, 4) transformed to A'(-1, -4).
