Reflections on the Coordinate Plane

Front

What is a reflection in geometry?

Back

A reflection in geometry 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 x-axis?

Back

The x-axis is the horizontal line in a coordinate plane where the y-coordinate is zero.

Tags

CCSS.5.G.A.1

Front

What is the y-axis?

Back

The y-axis is the vertical line in a coordinate plane where the x-coordinate is zero.

Tags

CCSS.5.G.A.1

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, change the sign of the y-coordinate to get (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point across the y-axis?

Back

To reflect a point (x, y) across the y-axis, change the sign of the x-coordinate to get (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to a point when it is reflected over both axes?

Back

When a point (x, y) is reflected over both axes, it becomes (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (3, 4) over the x-axis?

Back

The result is (3, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The result is (2, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A is at (1, 2), where is point A' after reflecting over the y-axis?

Back

Point A' is at (-1, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B is at (4, -3), where is point B' after reflecting over the x-axis?

Back

Point B' is at (4, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5