Reflections on a Coordinate Plane

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

The x-coordinate changes sign, while the y-coordinate remains the same. For example, the reflection of (x, y) across the y-axis is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The y-coordinate changes sign, while the x-coordinate remains the same. For example, the reflection of (x, y) across the x-axis is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of point C (10, -6) after reflecting across the y-axis?

Back

The coordinates will be (-10, -6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of point C (10, -10) after reflecting across the x-axis and then the y-axis?

Back

The coordinates will be (-10, -10).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of point B (8, 2) after reflecting across the y-axis?

Back

The coordinates will be (-8, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of point B (6, -3) after reflecting across the x-axis and then the y-axis?

Back

The coordinates will be (-6, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point across both the x-axis and y-axis?

Back

The coordinates of the point will change signs for both x and y. For example, (x, y) becomes (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A has coordinates (-5, 1), what are the coordinates after reflecting across the x-axis?

Back

The coordinates will be (-5, -1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the general rule for reflecting a point across the y-axis?

Back

For a point (x, y), the reflection across the y-axis is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the general rule for reflecting a point across the x-axis?

Back

For a point (x, y), the reflection across the x-axis is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5