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 for a reflection across the y-axis?

Back

The y-axis itself.

Front

What is the line of reflection for a reflection across the x-axis?

Back

The x-axis itself.

Front

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

Back

The reflected point is (x, -y).

Front

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

Back

The reflected point is (-x, y).

Front

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

Back

The reflected point is (y, x).

Front

What type of transformation is a reflection?

Back

A rigid transformation that preserves distance and angle.

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

What happens to the coordinates of a point (a, b) when reflected over the line y = -x?

Back

The reflected point is (-b, -a).

Front

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

Back

They are congruent and have the same size and shape.