Exploring Reflections on the Coordinate Plane

The video tutorial explains how to reflect points across the x-axis and y-axis. It provides examples of reflecting the point (3,2) across both axes, showing how the coordinates change. The tutorial highlights patterns in coordinate changes: when reflecting across the x-axis, the x-coordinate remains the same while the y-coordinate becomes its opposite, and vice versa for the y-axis. It also demonstrates how to perform these reflections without a graph, emphasizing the consistency of these patterns.

What happens to the y-coordinate when a point is reflected across the x-axis?

• It remains the same

• It becomes the opposite

• It doubles

• It becomes zero

If a point (3, 2) is reflected across the x-axis, what is the new y-coordinate?

• 2

• -2

• 3

• -3

Reflecting a point across the y-axis affects which coordinate?

• Neither coordinate

• y-coordinate

• x-coordinate

• Both coordinates

What is the new x-coordinate of a point (3, 2) after reflecting it across the y-axis?

• 2

• -3

• 3

• -2

If a point is three units to the right of the y-axis, how many units to the left will it be after reflection across the y-axis?

• One unit

• Six units

• Zero units

• Three units

What consistent pattern is observed when reflecting any point across the x-axis?

• No coordinates change

• Both coordinates change

• y-coordinate changes

• x-coordinate changes

After reflecting a point across the y-axis, what happens to the y-coordinate?

• It becomes negative

• It becomes positive

• It remains unchanged

• It becomes zero

If a point is at (-2, -4) and is reflected across the x-axis, what will be the new coordinates?

• (-2, 4)

• (2, 4)

• (-2, -4)

• (2, -4)

What is the new x-coordinate of a point (-2, -4) after reflecting it across the y-axis?

• -4

• -2

• 4

• 2

How does the x-coordinate change when a point is reflected across the y-axis?

• It becomes zero

• It remains the same

• It becomes negative

• It becomes positive