Reflection on a coordinate plane

Front

What is reflection in a coordinate plane?

Back

Reflection in a coordinate plane is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection for a reflection over the x-axis?

Back

The x-axis is the line of reflection, where points above the x-axis are flipped to points below it.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when reflected over the y-axis?

Back

When reflected over the y-axis, the x-coordinate changes to its opposite, resulting in (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when reflected over the x-axis?

Back

When reflected over the x-axis, the y-coordinate changes to its opposite, resulting in (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The reflection of (3, 5) over the y-axis is (-3, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point (-4, 2) over the x-axis?

Back

The reflection of (-4, 2) over the x-axis is (-4, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point is reflected over both the x-axis and the y-axis, what is the result?

Back

The result is that both coordinates change to their opposites. For example, (x, y) becomes (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point (0, 0) over any axis?

Back

The reflection of the point (0, 0) over any axis is still (0, 0) because it is the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The reflection of (5, -3) over the y-axis is (-5, -3).

Tags

CCSS.6.NS.C.6B

Front

What is the reflection of the point (-7, 4) over the x-axis?

Back

The reflection of (-7, 4) over the x-axis is (-7, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5