Rotating Figures on the Coordinate Plane

What is a rotation in the context of coordinate geometry?

• A shift along the x or y-axis

• A reflection across an axis

• A turn about a fixed point

• An enlargement or reduction

Which point serves as the center for all rotations discussed?

• Any point on the coordinate plane

• (1, 1)

• (0, 0)

• (2, 2)

What is the result of rotating a point 90 degrees clockwise around the origin?

• The x and y coordinates swap and the x value changes sign

• The x and y coordinates swap and the y value changes sign

• The x and y coordinates swap without any change in sign

• The x and y coordinates remain the same but their signs change

After a 90 degrees clockwise rotation, how do you describe the transformation of point (3, 4)?

• (3, -4)

• (-3, 4)

• (-4, 3)

• (4, -3)

For a rotation that switches the order of coordinates and changes the sign of the original x value, what rotation is being described?

• 90 degrees clockwise

• 180 degrees clockwise

• 360 degrees clockwise

• 270 degrees clockwise

How does a 180 degrees rotation affect the signs of a point's coordinates?

• Neither of the coordinate signs change

• Only the y-coordinate sign changes

• Both the x and y-coordinate signs change

• Only the x-coordinate sign changes

Which rotation results in the same final position for a point whether it is done clockwise or counterclockwise?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What transformation rule is applied when a figure is rotated 180 degrees?

• x becomes -x, y becomes -y

• x becomes y, y becomes x

• x becomes y, y becomes -x

• x becomes -y, y becomes -x

What is the rule for transforming a point during a 270 degrees clockwise rotation?

• x becomes -y, y becomes x

• y becomes x, x becomes -y

• x becomes y, y becomes -x

• x becomes -y, y becomes -x

Identify the rule that describes changing a figure's orientation from E to E' as (-4, -2) to (4, 2).

• x becomes -y, y becomes -x

• x becomes y, y becomes x

• x becomes -x, y becomes -y

• x becomes y, y becomes -x