Reflection Over the X-Axis Concepts

The video tutorial explains how to reflect a figure over the x-axis. It introduces the concept of reflection as flipping over an axis of symmetry and provides a rule for reflecting coordinate points. The rule involves changing the sign of the y-coordinate while keeping the x-coordinate unchanged. The tutorial demonstrates this rule with examples, transforming specific points and graphing them to verify the reflection. The process ensures an accurate mirror image across the x-axis.

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

• The origin

• The line y = x

• The x-axis

• The y-axis

When reflecting a point over the x-axis, which coordinate changes?

• The y-coordinate

• Both coordinates

• The x-coordinate

• Neither coordinate

What happens to the y-coordinate of a point when it is reflected over the x-axis?

• It changes sign

• It remains the same

• It doubles

• It becomes zero

What is the transformed point of A(-1, -3) after reflection over the x-axis?

• (1, -3)

• (1, 3)

• (-1, 3)

• (-1, -3)

What notation is used to label the transformed points after reflection?

• Prime

• Star

• Double prime

• Tilde

What is the new point for B(3, -4) after applying the reflection rule?

• (-3, 4)

• (3, 4)

• (-3, -4)

• (3, -4)

How can you verify that the points have been correctly reflected over the x-axis?

• By calculating the distance from the origin

• By graphing and checking for symmetry

• By ensuring the points form a straight line

• By checking if the x-coordinates are equal

What is the transformed point of C(1, -5) after reflection over the x-axis?

• (-1, 5)

• (1, 5)

• (-1, -5)

• (1, -5)

What is the importance of applying the reflection rule accurately?

• To change the figure's orientation

• To achieve an exact mirror image

• To maintain the original shape's size

• To ensure the figure is rotated correctly

What should you do if you want to ensure the reflection is accurate?

• Use a ruler to measure

• Apply the reflection rule

• Sketch the figure roughly

• Estimate the new coordinates