Reflections

Front

What is a reflection in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when reflected across the x-axis?

Back

The coordinates become (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when reflected across the y-axis?

Back

The coordinates become (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when reflected across the line y = k?

Back

The new coordinates are (x, 2k - y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Identify the line of reflection for the point (2, 3) reflected to (2, -1).

Back

The line of reflection is y = 1.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (a, b) is reflected across the line y = -3, what are the new coordinates?

Back

The new coordinates are (a, -6 - b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (4, 1) across the x-axis?

Back

The result is (4, -1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (1, 4) across the line y = -3?

Back

The result is (1, -10).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the line of reflection between two points?

Back

The line of reflection is the perpendicular bisector of the segment connecting the two points.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5