Reflections in Coordinate Geometry

This video tutorial explains how to perform reflections of points and graphs over the x-axis, y-axis, and the origin. It covers the changes in coordinates when reflecting over each axis and provides examples using graphs and points. The tutorial also includes practice problems to reinforce the concepts and demonstrates how to adjust equations for reflected graphs.

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

• Both x and y values change sign.

• The y-values change sign.

• Neither x nor y values change.

• The x-values change sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

When reflecting a point over the y-axis, which of the following is true?

• The y-values change sign.

• The x-values remain the same.

• Both x and y values remain the same.

• The x-values change sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflecting a point over the origin results in which of the following changes?

• Neither x nor y values change.

• Only x-values change sign.

• Only y-values change sign.

• Both x and y values change sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which quadrant does a point move to when reflected over the origin from quadrant 1?

• Quadrant 4

• Quadrant 3

• Quadrant 2

• Quadrant 1

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point (3, 4) is reflected over the y-axis, what are the new coordinates?

• (3, 4)

• (-3, -4)

• (3, -4)

• (-3, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point (5, -3) is reflected over the x-axis, what are the new coordinates?

• (-5, 3)

• (-5, -3)

• (5, -3)

• (5, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

When a figure is reflected over the y-axis, what happens to its orientation?

• It flips horizontally.

• It remains unchanged.

• It flips vertically.

• It rotates 90 degrees.

What is the new equation of the graph y = |x + 2| when it is reflected over the x-axis?

• y = -|x - 2|

• y = |x + 2|

• y = -|x + 2|

• y = |x - 2|

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of reflecting the point (-2, 5) over the origin?

• (2, 5)

• (-2, 5)

• (-2, -5)

• (2, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflecting a point over both the x-axis and y-axis is equivalent to reflecting it over which point?

• The x-axis

• Itself

• The y-axis

• The origin

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5