Reflections

Front

What is a reflection in geometry?

Back

A reflection 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) across the x-axis?

Back

The line of reflection is the x-axis, which changes the y-coordinate to its opposite: (x, -y).

Front

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

Back

The line of reflection is the y-axis, which changes the x-coordinate to its opposite: (-x, y).

Front

What is the line of reflection for a point (x, y) across the line y = x?

Back

The line of reflection is y = x, which swaps the coordinates: (x, y) becomes (y, x).

Front

What is the line of reflection for a point (x, y) across the line y = -x?

Back

The line of reflection is y = -x, which changes the coordinates to their opposites: (x, y) becomes (-y, -x).

Front

How do you reflect a point over the line y = 3?

Back

To reflect a point (x, y) over the line y = 3, the new y-coordinate is 6 - y, keeping the x-coordinate the same.

Front

What is the reflection of the point (2, -4) over the x-axis?

Back

The reflection is (2, 4).

Front

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

Back

The reflection is (-4, 2).

Front

What is the reflection of the point (3, 5) over the line x = 3?

Back

The reflection is (3, 5) since it lies on the line of reflection.

Front

What is the rule for reflecting a point across the line x = 1?

Back

The new x-coordinate is 2 - x, while the y-coordinate remains the same.