How to reflect a triangle over the x axis

The video tutorial explains how to reflect a figure over the X axis. It introduces the concept of reflection as flipping a figure over an axis of symmetry. The tutorial provides a rule for reflecting points: change the sign of the Y coordinate while keeping the X coordinate unchanged. The instructor demonstrates this rule using points A, B, and C, transforming them into A prime, B prime, and C prime. Finally, the transformed points are graphed to verify the reflection, ensuring they form a mirror image across the X axis.

What is the main concept introduced when reflecting a figure over the X-axis?

• Rotating the figure around the origin

• Translating the figure along the X-axis

• Flipping the figure over the Y-axis

• Flipping the figure over the X-axis

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

• The X-coordinate

• The Y-coordinate

• Neither coordinate

• Both coordinates

If a point A has coordinates (-1, -3), what will be the coordinates of A' after reflection over the X-axis?

• (1, 3)

• (-1, 3)

• (1, -3)

• (-1, -3)

What symbol is used to denote the transformed points after reflection?

• Tilde (~)

• Prime (')

• Asterisk (*)

• Caret (^)

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

• By comparing the original and new Y-coordinates

• By plotting the points on the Y-axis

• By ensuring the points form a mirror image across the X-axis

• By checking if the X-coordinates are the same