Reflections Across Axes in Geometry

Mr. Bell explains how to reflect points across the X and Y axes. He demonstrates with examples, showing how to plot points and reflect them across each axis. The video covers the principles of reflection, including maintaining equal distances from the axis and changing signs of coordinates.

What is the main topic discussed in the video?

• Finding the slope of a line

• Solving quadratic equations

• Reflecting points across axes

• Graphing linear equations

When reflecting a point across the Y-axis, what happens to the x-coordinate?

• It becomes zero

• It remains the same

• It doubles

• It changes sign

If a point (3, 5) is reflected across the Y-axis, what is the new point?

• (-3, 5)

• (3, -5)

• (5, 3)

• (-3, -5)

What is the general principle behind reflecting a point across an axis?

• The point's distance from the axis remains the same

• The point's coordinates are swapped

• The point moves to the origin

• The point's coordinates are multiplied by two

What is the reflection of the point (0, 5) across the Y-axis?

• (-5, 0)

• (0, -5)

• (0, 5)

• (5, 0)

If a point is on the Y-axis, what happens when it is reflected across the Y-axis?

• It remains in the same position

• It moves to the X-axis

• It moves to the origin

• It moves to the opposite side of the X-axis

What is the reflection of the point (5, 0) across the Y-axis?

• (-5, 0)

• (5, 0)

• (0, -5)

• (0, 5)

What is the reflection of the point (-3, -3) across the Y-axis?

• (3, 3)

• (-3, 3)

• (3, -3)

• (-3, -3)

What is the reflection of the point (2, 2) across the Y-axis?

• (2, 2)

• (-2, 2)

• (2, -2)

• (-2, -2)

When reflecting a point across the X-axis, what happens to the y-coordinate?

• It remains the same

• It becomes zero

• It changes sign

• It doubles