Point Reflection Transformations

The video tutorial covers various reflection rules for points in a coordinate plane. It explains how to reflect points across the x-axis, y-axis, origin, and lines such as Y=X and Y=-X. The tutorial also demonstrates reflecting points across vertical and horizontal lines, using examples to illustrate each concept. By the end, viewers will understand how to apply these reflection rules to different scenarios.

What happens to the coordinates of a point when it is reflected across the x-axis?

• The coordinates are swapped.

• Both coordinates change sign.

• The y-coordinate changes sign.

• The x-coordinate changes sign.

How do you reflect a point across the y-axis?

• Negate the y-coordinate.

• Negate the x-coordinate.

• Swap the coordinates.

• Negate both coordinates.

When reflecting a point across the origin, what transformation occurs?

• Both coordinates are negated.

• The y-coordinate is negated.

• The x-coordinate is negated.

• The coordinates are swapped.

What is the result of reflecting a point across the line y=x?

• The coordinates are swapped.

• The y-coordinate is negated.

• The x-coordinate is negated.

• Both coordinates are negated.

What is the transformation rule for reflecting a point across the line y=x?

• Swap the coordinates.

• Negate both coordinates.

• Negate the x-coordinate.

• Negate the y-coordinate.

How do you reflect a point across the line y=-x?

• Negate the x-coordinate only.

• Swap the coordinates without negation.

• Swap and negate both coordinates.

• Negate the y-coordinate only.

What is the effect on the coordinates when reflecting a point across the line y=-x?

• The coordinates remain unchanged.

• Both coordinates are swapped and negated.

• The y-coordinate is negated.

• The x-coordinate is negated.

What is the new x-coordinate when reflecting a point across a vertical line x=a?

• It remains the same.

• It is twice the distance from the line.

• It is negated.

• It is the average of the original and reflected x-coordinates.

When reflecting a point across a horizontal line y=b, what happens to the y-coordinate?

• It is the average of the original and reflected y-coordinates.

• It is twice the distance from the line.

• It remains the same.

• It is negated.

How do you determine the new y-coordinate when reflecting a point across a horizontal line y=b?

• Negate the original y-coordinate.

• Double the distance from b.

• Add the distance to b.

• Subtract the distance from b.