Understanding Reflections in the Y-Axis

The video tutorial explains how to solve a math problem involving the reflection of a line segment over the Y axis. It begins by introducing the problem and asking viewers to attempt solving it. The tutorial then demonstrates the reflection process, focusing on how the X coordinate changes while the Y coordinate remains the same. By analyzing the coordinates of points U and V, the video illustrates the reflection rule and concludes by identifying the correct answer choice.

What is the main task described in the problem involving line segment UV?

• To find the midpoint of line segment UV.

• To reflect line segment UV over the Y-axis.

• To calculate the length of line segment UV.

• To rotate line segment UV around the origin.

When reflecting a point over the Y-axis, what happens to its coordinates?

• Both X and Y coordinates are inverted.

• Only the Y coordinate changes sign.

• Only the X coordinate changes sign.

• Both coordinates remain the same.

If a point U is located at (-6, 6), what will be its coordinates after reflection over the Y-axis?

• (6, -6)

• (-6, -6)

• (-6, 6)

• (6, 6)

What is the rule for reflecting any point over the Y-axis?

• Change both coordinates to their opposites.

• Keep both coordinates the same.

• Change the Y coordinate to its opposite.

• Change the X coordinate to its opposite.

Which answer choice represents the image of point W after reflection over the Y-axis?

• Positive XY

• Negative XY

• Negative YX

• Positive YX