Learn how to rotate a figure 180 degrees about the origin ex 2

The video tutorial explains how to rotate a figure 180 degrees about the origin, regardless of direction. It discusses using graph paper to visualize the rotation and introduces a rule for transforming coordinates by negating them. The tutorial concludes with plotting the new image points after rotation.

What is the significance of the origin in a 180-degree rotation?

• It is the point where the figure starts.

• It is irrelevant to the rotation process.

• It is the fixed point around which the figure rotates.

• It is the endpoint of the rotation.

When rotating a figure 180 degrees, how many times do you need to rotate it 90 degrees?

• Once

• Twice

• Three times

• Four times

What happens to the x-axis when a figure is rotated 90 degrees counterclockwise?

• It becomes the y-axis.

• It remains the x-axis.

• It disappears.

• It becomes the origin.

How do you determine the new coordinates of a point after a 180-degree rotation?

• Multiply both coordinates by -1.

• Add 180 to both coordinates.

• Swap the x and y coordinates.

• Negate both the x and y coordinates.

What is the new coordinate of a point (3, -2) after a 180-degree rotation?

• (-3, -2)

• (-3, 2)

• (2, -3)

• (3, 2)