Question

How do I find dis?
180 rotation about the point (1,4)

Answer 1

To find the coordinates after a 180 degree rotation about the point (1,4), you can use the formula x' = 2a - x and y' = 2b - y.

Step-by-step explanation:

To find the coordinates after a 180 degree rotation about the point (1,4), we can use the formula:

x' = 2a - x

y' = 2b - y

where (a,b) is the center of rotation and (x,y) are the original coordinates. Plugging in the values (1,4) as the center of rotation, we can calculate the new coordinates.

Answer 2

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).