Graphing Rotations on the Coordinate Plane

What is the result of a 90 degrees counterclockwise rotation around the origin?

• Coordinates are swapped and the first value is negated.

• Coordinates are swapped and the second value is negated.

• Only the signs of the coordinates are changed.

• Coordinates are swapped without any sign changes.

What is the correct sequence of operations for a 90 degrees counterclockwise rotation?

• Negate both coordinates, then swap.

• Swap the coordinates without negation.

• Swap the coordinates, then negate the first.

• Negate the second coordinate, then swap.

Which of the following is equivalent to a 270 degrees counterclockwise rotation?

• 90 degrees clockwise rotation

• No rotation

• 180 degrees rotation

• 360 degrees rotation

How do you calculate the new coordinates for a 90 degrees clockwise rotation?

• Swap the coordinates and negate the second value.

• Swap the coordinates without negating any values.

• Only negate the values without swapping.

• Swap the coordinates and negate the first value.

In a 270 degrees counterclockwise rotation, what is the first step in transforming the coordinates?

• Swap the coordinates.

• Negate the first coordinate.

• No changes needed before rotation.

• Negate the second coordinate.

How does a 90 degrees clockwise rotation affect the coordinates of a point?

• Both coordinates are negated.

• The coordinates are swapped and the second is negated.

• The coordinates are swapped and the first is negated.

• No changes occur to the coordinates.

What should you remember about the relationship between 270 degrees counterclockwise and 90 degrees clockwise rotations?

• They are completely different rotations.

• They result in the same geometric transformation.

• They are inverse operations.

• One is twice the rotation of the other.

What happens to a figure when it is rotated 180 degrees?

• The coordinates are swapped and both values are negated.

• The figure returns to its original orientation.

• The figure is reflected over the origin.

• The coordinates remain in place but their signs are changed.

What is the effect of a 180 degrees rotation on the coordinates of a point?

• Both coordinates are negated without swapping.

• No changes occur to the coordinates.

• The coordinates are negated.

• The coordinates are swapped.

What is the geometric effect of rotating a figure 180 degrees?

• The figure is flipped over the origin.

• The figure remains unchanged.

• The figure is translated to a new position.

• The figure's size is doubled.