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 over the x-axis?

Back

Reflecting a point over the x-axis means to create a new point that has the same x-coordinate but the opposite y-coordinate. For example, the reflection of (a, b) is (a, -b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to reflect a point over the y-axis?

Back

Reflecting a point over the y-axis means to create a new point that has the opposite x-coordinate but the same y-coordinate. For example, the reflection of (a, b) is (-a, b).

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 both axes?

Back

When a point is reflected over both axes, both the x-coordinate and y-coordinate change signs. For example, the reflection of (a, b) is (-a, -b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point (2, 3) over the x-axis?

Back

The reflection of (2, 3) over the x-axis is (2, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point (-5, -4) over the y-axis?

Back

The reflection of (-5, -4) over the y-axis is (5, -4).

Tags

CCSS.6.NS.C.6B

Front

In which quadrant is the point (4, -2) located?

Back

The point (4, -2) is located in Quadrant IV.

Tags

CCSS.6.NS.C.6B

Front

If point A is at (3, 5), what is the reflection of A over the y-axis?

Back

The reflection of A (3, 5) over the y-axis is A' (-3, 5).

Tags

CCSS.6.NS.C.6B

Front

What is the ordered pair for the reflection of point B (1, -7) over the x-axis?

Back

The reflection of point B (1, -7) over the x-axis is B' (1, 7).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of point C (-2, 4) over both axes?

Back

The reflection of point C (-2, 4) over both axes is C' (2, -4).

Tags

CCSS.6.NS.C.6B