Reflections

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line over which a figure is reflected; it can be the x-axis, y-axis, or any other line.

Front

How do you reflect a point (x, y) over the x-axis?

Back

The reflection is (x, -y).

Front

How do you reflect a point (x, y) over the y-axis?

Back

The reflection is (-x, y).

Front

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

Back

The reflection is (y, x).

Front

What type of transformation is a reflection?

Back

A rigid transformation, meaning the shape and size of the figure remain unchanged.

Front

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

Back

The y-coordinates of the points of the shape change sign.

Front

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

Back

The x-coordinates of the points of the shape change sign.

Front

If a triangle is reflected over the y-axis, how does its orientation change?

Back

The triangle's orientation remains the same, but its position changes.

Front

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

Back

They are congruent, meaning they have the same shape and size.