Coordinate Plane Reflections

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair (x, y).

Tags

CCSS.5.G.A.1

Front

What does it mean to reflect a point across the x-axis?

Back

Reflecting a point across the x-axis means to create a new point that is the same distance from the x-axis but on the opposite side. 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 does it mean to reflect a point across the y-axis?

Back

Reflecting a point across the y-axis means to create a new point that is the same distance from the y-axis but on the opposite side. The x-coordinate changes sign while the y-coordinate remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A is at (3, 4), what is its reflection across the x-axis?

Back

The reflection of point A (3, 4) across the x-axis is (3, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B is at (-2, -5), what is its reflection across the y-axis?

Back

The reflection of point B (-2, -5) across the y-axis is (2, -5).

Tags

CCSS.6.NS.C.6B

Front

What is the result of reflecting a point in the origin?

Back

Reflecting a point in the origin means both the x and y coordinates change signs. For example, the reflection of (x, y) in the origin is (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the quadrant of the point (4, -3)?

Back

The point (4, -3) is located in Quadrant IV.

Tags

CCSS.6.NS.C.6B

Front

What is the quadrant of the point (-3, 5)?

Back

The point (-3, 5) is located in Quadrant II.

Tags

CCSS.6.NS.C.6B

Front

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

Back

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

Back

When a point is reflected over the x-axis, the y-coordinate changes sign while the x-coordinate remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5