Geometry Rotation Quiz

What is the main challenge when rotating points around a center that is not at the origin?

• The rules for rotation are only applicable when the center is at the origin.

• The rotation angle is difficult to determine.

• The points to be rotated are not clearly defined.

• The center of rotation is always moving.

What is the first step in the algorithmic method for rotating points around a non-origin center?

• Rotate the points directly.

• Identify the points to be rotated.

• Shift the center to the origin.

• Determine the rotation angle.

In the first practice problem, what is the initial shift required to move the center to the origin?

• Right 2, Up 2

• Left 3, Down 1

• Right 3, Up 1

• Left 2, Down 2

What is the rule for rotating a point 90 degrees counterclockwise?

• Swap x and y, change the sign of x

• Swap x and y, change the sign of y

• Do not change x and y

• Change the sign of both x and y

In the second practice problem, what is the shift required to move the center to the origin?

• Left 2, Down 2

• Right 3, Down 1

• Left 3, Up 1

• Right 2, Up 2

What is the rule for rotating a point 90 degrees clockwise?

• Swap x and y, change the sign of x

• Swap x and y, change the sign of y

• Do not change x and y

• Change the sign of both x and y

In the third practice problem, what is the shift required to move the center to the origin?

• Subtract 3 from x, add 2 to y

• Add 3 to x, subtract 2 from y

• Add 2 to x, subtract 3 from y

• Subtract 2 from x, add 3 to y

What is the rule for rotating a point 180 degrees?

• Do not change x and y

• Change the sign of both x and y

• Swap x and y, change the sign of y

• Swap x and y, change the sign of x

What is the equivalent of rotating 270 degrees counterclockwise?

• 180 degrees clockwise

• 90 degrees clockwise

• 360 degrees clockwise

• 270 degrees clockwise

What is the final step in the algorithmic method for rotating points?

• Calculate the new coordinates.

• Determine the new center of rotation.

• Shift the points back to their original position.

• Rotate the points again.