Reflections

Front

What is a reflection in geometry?

Back

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 over which a figure is reflected; it acts as a mirror.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What transformation is represented by the equation (x, y) → (x, -y)?

Back

Reflection over the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What transformation is represented by the equation (x, y) → (-x, y)?

Back

Reflection over the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The y-coordinate of the point changes sign, while the x-coordinate remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a point across the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

A'(3, -4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

B'(2, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the relationship between the original figure and its reflection?

Back

They are congruent and have the same size and shape but are oriented differently.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the formula for reflecting a point (x, y) over the line y = x?

Back

(x, y) → (y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5