Reflections on Coordinate Plane

Front

What is a reflection in the coordinate plane?

Back

A reflection in the coordinate plane is a transformation that flips a point or shape over a specified line, creating a mirror image.

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. The new point will be (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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. The new point will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of the reflection of (3, 4) across the y-axis?

Back

The reflection of (3, 4) across the y-axis is (-3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of the reflection of (-2, -5) across the x-axis?

Back

The reflection of (-2, -5) across the x-axis is (-2, 5).

Tags

CCSS.6.NS.C.6B

Front

What happens to the coordinates of a point when it is reflected across the origin?

Back

When a point (x, y) is reflected across the origin, both coordinates change signs. The new point will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Reflect the point (1, -3) across the origin. What are the coordinates?

Back

The reflection of (1, -3) across the origin is (-1, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A is at (2, 5), what are the coordinates of its reflection across the x-axis?

Back

The reflection of point A (2, 5) across the x-axis is (2, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (0, 0) across any axis?

Back

The reflection of the point (0, 0) across any axis is still (0, 0).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you find the reflection of a point across the line y = x?

Back

To reflect a point (x, y) across the line y = x, swap the coordinates. The new point will be (y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5