Understanding Rotations in Geometry

The video tutorial explains the concept of rotations as a transformation that rotates a pre-image by 90, 180, or 270 degrees either clockwise or counterclockwise. It highlights that 270 degrees clockwise is equivalent to 90 degrees counterclockwise. The tutorial provides helpful tips for performing rotations, such as drawing arrows to indicate direction. It includes examples of rotating figures 90 degrees clockwise and 270 degrees clockwise, detailing the changes in coordinates and plotting the new points on a graph.

What is the equivalent of a 270-degree clockwise rotation?

• 180-degree counterclockwise

• 90-degree counterclockwise

• 90-degree clockwise

• 180-degree clockwise

How many degrees is each quadrant in a rotation?

• 60 degrees

• 45 degrees

• 120 degrees

• 90 degrees

Which of the following is a helpful hint when performing rotations?

• Draw a circle around the figure

• Draw an arrow indicating the direction of rotation

• Use a ruler to measure angles

• Always rotate counterclockwise

In a 90-degree clockwise rotation, what happens to the coordinates (x, y)?

• (y, -x)

• (x, y)

• (-x, -y)

• (-y, x)

If a point is at (4, 4) before a 90-degree clockwise rotation, where will it be after the rotation?

• (0, 0)

• (4, -4)

• (-4, 4)

• (4, 4)

What is the new position of point (1, 3) after a 90-degree clockwise rotation?

• (-3, 1)

• (3, -1)

• (1, -3)

• (-1, 3)

During a 270-degree clockwise rotation, what transformation occurs to the coordinates (x, y)?

• (-x, -y)

• (-y, x)

• (x, y)

• (y, -x)

After a 270-degree clockwise rotation, where does the point (-4, -4) end up?

• (4, 4)

• (-4, -4)

• (4, -4)

• (-4, 4)

What is the final position of point (-1, -3) after a 270-degree clockwise rotation?

• (3, 1)

• (-3, -1)

• (1, 3)

• (-1, -3)

What is the result of a 90-degree counterclockwise rotation?

• 90-degree clockwise

• 180-degree clockwise

• 270-degree clockwise

• 180-degree counterclockwise