Reflection

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

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

Back

The coordinates become (x, -y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

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

Back

The coordinates become (-x, y).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

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

Back

The coordinates become (y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If point A(3, 4) is reflected across the x-axis, what are the coordinates of A'?

Back

A' is (3, -4).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If point B(-2, 5) is reflected across the y-axis, what are the coordinates of B'?

Back

B' is (2, 5).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If triangle GHI is reflected across the x-axis, what is the new position of point I(6, 2)?

Back

I' is (6, -2).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the algebraic representation of reflecting a point across the x-axis?

Back

The representation is @@(x, y) ightarrow (x, -y)@@.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If a figure is reflected over the y-axis, what is the effect on its coordinates?

Back

The x-coordinates of all points are negated.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3