5.7 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 point 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 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 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 is its reflection over the x-axis?

Back

A' is at (2, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B is at (-1, 4), what is its reflection over the y-axis?

Back

B' is at (1, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the new location of point C (5, -2) after reflecting over both axes?

Back

C' is at (-5, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

D' is at (-3, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What quadrant is point E (-4, -3) located in?

Back

Point E is located in Quadrant III.

Tags

CCSS.6.NS.C.6B