9.3 Reflections on the Coordinate Plane

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the two main axes on the coordinate plane?

Back

The x-axis (horizontal) and the y-axis (vertical).

Tags

CCSS.5.G.A.1

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates 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 both axes?

Back

The coordinates (x, y) become (-x, -y) when reflected over both axes.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A is at (2, 3), what are the coordinates after reflecting over the x-axis?

Back

The coordinates will be (2, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B is at (-4, 5), what are the coordinates after reflecting over the y-axis?

Back

The coordinates will be (4, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point (1, -2) over both axes?

Back

The reflection is (-1, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point C is at (0, 0), what is its reflection over any axis?

Back

The reflection remains (0, 0) because it is at the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of point D (4, 3) over the x-axis?

Back

The reflection is (4, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5