Question

Find the new coordinates of (5, 12) after a 180 degrees rotation. The center of rotation is the origin.

a.(-5, -12)
b.(5, -12)
c.(-5, 12)
d.(-12, -5)

Answer 1

The new coordinates of the point (5, 12) after a 180-degree rotation around the origin are (-5, -12). This is because in a 180-degree rotation, both coordinates simply change their signs.

Step-by-step explanation:

The student has asked for the new coordinates of the point (5, 12) after a 180 degrees rotation around the origin. To find the new coordinates after a 180-degree rotation, you change the signs of both the x and y coordinates of the original point. This means that the point (5, 12) will transform to (-5, -12).

Steps for rotation:

1. Change the sign of the x-coordinate: 5 becomes -5.
2. Change the sign of the y-coordinate: 12 becomes -12.
3. The new coordinates are thus (-5, -12).

Therefore, the correct answer is option (a), which is (-5, -12).