Reflections on the Coordinate Plane

Front

What is a reflection in geometry?

Back

A reflection 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 over the x-axis?

Back

To reflect a point (x, y) over 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 over the y-axis?

Back

To reflect a point (x, y) over 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 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 (-5, 2) over the y-axis?

Back

The result is (5, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A is at (2, 3), what is A' when reflected over the y-axis?

Back

A' is (-2, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B is at (-7, -8), what is B' when reflected over the y-axis?

Back

B' is (7, -8).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The x-coordinate remains the same, and the y-coordinate changes sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5