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.

Front

What is the line of reflection for a point (x, y) reflected over the x-axis?

Back

The line of reflection is the x-axis, and the reflected point will be (x, -y).

Front

What is the line of reflection for a point (x, y) reflected over the y-axis?

Back

The line of reflection is the y-axis, and the reflected point will be (-x, y).

Front

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

Back

The rule is to swap the coordinates of the point: (x, y) becomes (y, x).

Front

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

Back

The rule is to swap the coordinates and change their signs: (x, y) becomes (-y, -x).

Front

How do you reflect a point over the line y = k?

Back

To reflect a point (x, y) over the line y = k, use the formula: (x, 2k - y).

Front

How do you reflect a point over the line x = k?

Back

To reflect a point (x, y) over the line x = k, use the formula: (2k - x, y).

Front

What are the coordinates of the reflection of point A(3, 5) over the x-axis?

Back

The coordinates of the reflection are A'(3, -5).

Front

What are the coordinates of the reflection of point B(-2, -4) over the line y = x?

Back

The coordinates of the reflection are B'(-4, -2).

Front

What are the coordinates of the reflection of point C(-5, 4) over the line y = -1?

Back

The coordinates of the reflection are C'(-5, -6).