Understanding 270-Degree Rotations

The video tutorial explains how to describe a 270-degree counterclockwise rotation of triangle ABC. It covers the movement of the triangle across quadrants, mapping of pre-image to image coordinates, and identifying patterns in coordinate transformations. The tutorial concludes with deriving a general rule for such rotations.

What is the initial step in describing a rotation of a geometric figure?

• Measuring the angles of the figure

• Determining the type of figure

• Calculating the area of the figure

• Identifying the center of rotation

How many quadrants does triangle ABC move through during a 270-degree counterclockwise rotation?

• Three quadrants

• One quadrant

• Two quadrants

• Four quadrants

Which quadrant does a point move to after a 270-degree counterclockwise rotation from the first quadrant?

• First quadrant

• Fourth quadrant

• Third quadrant

• Second quadrant

What is the term used for the original figure before rotation?

• Image

• Pre-image

• Reflection

• Translation

What is the significance of the pre-image in a rotation?

• It is the reflection of the image

• It is the midpoint of the rotation

• It is the original position before transformation

• It is the final position of the figure

What happens to the coordinates of a point after a 270-degree counterclockwise rotation?

• They remain the same

• They are reflected over the x-axis

• They switch places and change signs

• They are doubled

After a 270-degree counterclockwise rotation, what are the new coordinates of point A if it started at (-5, -4)?

• (4, -5)

• (5, 4)

• (-5, 4)

• (-4, 5)

What is the new position of point B after a 270-degree counterclockwise rotation if it started at (-2, -2)?

• (2, 2)

• (2, -2)

• (-2, -2)

• (-2, 2)

If point C starts at (-3, -6), what are its coordinates after a 270-degree counterclockwise rotation?

• (-3, 6)

• (6, -3)

• (-6, 3)

• (3, -6)

What is the general rule for the x-coordinate after a 270-degree counterclockwise rotation?

• It remains the x-coordinate with the same sign

• It becomes the y-coordinate with the opposite sign

• It remains the x-coordinate with the opposite sign

• It becomes the y-coordinate with the same sign