Reflection Over the X-Axis

The video tutorial explains how to reflect a geometric figure over the x-axis. It begins by identifying the x-axis and the line of symmetry, then demonstrates how to reflect individual points by changing the sign of the y-coordinate while keeping the x-coordinate constant. The tutorial concludes by summarizing the reflection process and providing examples of transformed coordinates.

What is the first step in reflecting a figure over the x-axis?

• Draw a new figure

• Change the coordinates

• Identify the x-axis

• Identify the y-axis

What is the line of symmetry when reflecting over the x-axis?

• A vertical line

• The x-axis

• A diagonal line

• The y-axis

If point A is at (6, 3), where will it be after reflecting over the x-axis?

• (6, -3)

• (-6, 3)

• (-6, -3)

• (3, 6)

How do you determine the new position of a point after reflection over the x-axis?

• Add 1 to both coordinates

• Swap the x and y coordinates

• Change the y-coordinate to its opposite

• Change the x-coordinate to its opposite

What happens to the shape of a figure after reflecting it over the x-axis?

• It becomes smaller

• It changes color

• It becomes larger

• It remains the same but flipped

What is the new position of point B if it was originally at (4, -2) after reflection?

• (4, 2)

• (-4, -2)

• (-4, 2)

• (2, 4)

What is the general rule for reflecting a point (x, y) over the x-axis?

• Change x to -x

• Change y to -y

• Add 1 to x and y

• Swap x and y

If point C is at (0, 4), where will it be after reflection over the x-axis?

• (0, 4)

• (4, 0)

• (0, -4)

• (-4, 0)

What remains unchanged when reflecting a point over the x-axis?

• The y-coordinate

• The x-coordinate

• Both coordinates

• The color of the point

What is the opposite of a negative y-coordinate when reflecting over the x-axis?

• A positive number

• Zero

• A smaller negative number

• A larger negative number