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

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: (x, y) becomes (-x, y).

Front

What is the reflection of the point (3, 5) over the y-axis?

Back

The reflection is (-3, 5).

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate: (x, y) becomes (x, -y).

Front

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

Back

The reflection is (4, 2).

Front

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

Back

The reflection is (y, x).

Front

What is the reflection of the point (1, 3) over the line y = x?

Back

The reflection is (3, 1).

Front

If a point is reflected over the x-axis, what happens to its y-coordinate?

Back

The y-coordinate changes sign.

Front

If a point is reflected over the y-axis, what happens to its x-coordinate?

Back

The x-coordinate changes sign.

Front

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

Back

The reflection is (2, 4).