Mastering Coordinate Reflections in Geometry

This video tutorial explains how to reflect an image over the x and y axes, focusing on the changes in coordinates. It introduces rules for reflection: changing the sign of the y-coordinate for x-axis reflection and changing the sign of the x-coordinate for y-axis reflection. The tutorial emphasizes maintaining equal distances from the reflection line.

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

• Only the x value changes sign.

• Neither coordinate changes.

• Only the y value changes sign.

• Both x and y values change sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point is 5 units above the x-axis, where will it be after reflection over the x-axis?

• 5 units to the right of the x-axis

• 5 units above the x-axis

• 5 units below the x-axis

• Remains at the same position

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new y-coordinate of a point that was originally at y = 3 after reflection over the x-axis?

• -3

• 3

• 0

• 6

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What rule describes the transformation of coordinates when reflecting over the x-axis?

• x becomes -x

• y becomes -y

• y becomes x

• x becomes y

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following points shows a correct reflection over the x-axis of the point (1, 2)?

• (1, -2)

• (-1, 2)

• (2, 1)

• (-2, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

After reflecting the point (5, 2) over the x-axis, what will be its new coordinates?

• (5, -2)

• (-2, -5)

• (-5, 2)

• (2, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How does the reflection over the y-axis affect the x-coordinate of a point?

• It remains unchanged

• It changes sign

• It doubles

• It becomes zero

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If a point is 2 units to the right of the y-axis, where will it be after reflection over the y-axis?

• 2 units to the left of the y-axis

• 2 units above the y-axis

• Remains at the same position

• 2 units to the right of the y-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the new coordinate of a point (3, -5) after reflection over the y-axis?

• (3, -5)

• (-3, 5)

• (-3, -5)

• (3, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• It changes sign

• It doubles

• It remains the same

• It becomes zero

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5