Reflections and Rotations: Understanding Coordinates on a Coordinate Plane

This video tutorial explains the effects of reflections and rotations on coordinates using a coordinate plane. It covers how reflections flip figures over axes and how rotations turn figures around a center point. The tutorial also discusses the significance of coordinate signs in determining quadrants and provides examples of how coordinates change with different transformations.

What happens to a figure when it is reflected over the x-axis?

• The x-coordinates change sign, and the y-coordinates remain the same.

• Neither x nor y coordinates change.

• The y-coordinates change sign, and the x-coordinates remain the same.

• Both x and y coordinates change sign.

If a point is in quadrant 2, what are the signs of its coordinates?

• The x-coordinate is positive, and the y-coordinate is negative.

• Both coordinates are positive.

• Both coordinates are negative.

• The x-coordinate is negative, and the y-coordinate is positive.

When reflecting a triangle over the y-axis, what happens to the coordinates?

• The x-coordinates change sign, and the y-coordinates remain the same.

• The y-coordinates change sign, and the x-coordinates remain the same.

• Neither x nor y coordinates change.

• Both x and y coordinates change sign.

What is the result of rotating a figure 90 degrees counterclockwise about the origin?

• The x and y coordinates swap, and the new x-coordinate is negative.

• The x and y coordinates swap, and the new y-coordinate is negative.

• The x-coordinate becomes negative, and the y-coordinate remains the same.

• The y-coordinate becomes negative, and the x-coordinate remains the same.

In which quadrant will a figure be after a 180-degree counterclockwise rotation from quadrant 2?

• Quadrant 1

• Quadrant 2

• Quadrant 3

• Quadrant 4

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

• The x-coordinate becomes positive, and the y-coordinate becomes negative.

• The x-coordinate becomes negative, and the y-coordinate becomes positive.

• Both coordinates become positive.

• Both coordinates become negative.

What is the key to understanding the result of a rotation?

• Visualizing the new quadrant the figure will be in.

• Ignoring the center of rotation.

• Memorizing the original coordinates.

• Ensuring the figure remains in the same quadrant.