Reflection of Points in Geometry

This video tutorial explains how to reflect points across various axes and lines, including the x-axis, y-axis, origin, and lines such as Y=X, Y=-X, x=k, and Y=k. It provides visual representations and formulas for each type of reflection, helping learners understand how coordinates change during these transformations.

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

• Both coordinates change sign.

• The y-coordinate changes sign.

• The x-coordinate changes sign.

• Neither coordinate changes.

When a point is reflected across the y-axis, which coordinate remains unchanged?

• y-coordinate

• x-coordinate

• Both coordinates

• Neither coordinate

Reflecting a point across the origin results in what change to its coordinates?

• Only the y-coordinate changes sign.

• Only the x-coordinate changes sign.

• Both coordinates change sign.

• Both coordinates remain the same.

What is the result of reflecting a point across the line Y = X?

• The y-coordinate remains the same.

• The x-coordinate remains the same.

• The x-coordinate becomes the y-coordinate and vice versa.

• Both coordinates change sign.

How do you find the new coordinates when reflecting a point across the line Y = -X?

• Switch the coordinates and negate both.

• Switch the coordinates only.

• Negate both coordinates only.

• Keep the coordinates the same.

When reflecting a point across a vertical line x = k, what happens to the y-coordinate?

• It remains the same.

• It changes sign.

• It becomes zero.

• It changes to k.

What formula is used to find the new x-coordinate when reflecting across x = k?

• x - k

• 2k - x

• k - x

• 2k + x

In reflecting a point across a horizontal line Y = k, which coordinate changes?

• Neither coordinate

• Both coordinates

• y-coordinate

• x-coordinate

What is the formula for the new y-coordinate when reflecting across Y = k?

• y - k

• 2k + y

• k - y

• 2k - y

Which of the following is a correct summary of reflecting a point across the origin?

• Both coordinates change sign.

• Neither coordinate changes.

• The y-coordinate remains the same.

• The x-coordinate remains the same.