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

Back

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

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 y-axis?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflected point of (3, -2) across the y-axis?

Back

The reflected point is (-3, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflected point of (4, 2) across the x-axis?

Back

The reflected point is (4, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point D is at (5, 3), what is its reflection across the y-axis?

Back

The reflection of point D is (-5, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the new location of point A (4, 2) when reflected over the x-axis?

Back

The new location is (4, -2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (-2, -6) over both axes?

Back

The result is (2, 6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5