Reflections

Front

What is a reflection in geometry?

Back

A reflection in geometry is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

When a point (x, y) is reflected across the y-axis, its coordinates change to (-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 across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its coordinates change to (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A(2, 3) is reflected across the y-axis, what are the coordinates of A'?

Back

A'(-2, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point B(-4, 5) is reflected across the x-axis, what are the coordinates of B'?

Back

B'(-4, -5).

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 to create a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine if a figure is reflected over the x-axis or y-axis?

Back

To determine the axis of reflection, observe the changes in the coordinates: if the x-coordinate changes sign, it's a reflection over the y-axis; if the y-coordinate changes sign, it's a reflection over the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Reflect the point (3, 4) over the x-axis. What are the new coordinates?

Back

(3, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Reflect the point (-2, -5) over the y-axis. What are the new coordinates?

Back

(2, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (0, 0)?

Back

The result is still (0, 0) because the origin remains unchanged under reflection.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5