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 happens to the coordinates of a point (x, y) when it is reflected across the x-axis?

Back

The coordinates become (x, -y).

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The coordinates become (-x, y).

Front

If a point (a, b) is reflected across the x-axis, what is the new point?

Back

The new point is (a, -b).

Front

If a point (a, b) is reflected across the y-axis, what is the new point?

Back

The new point is (-a, b).

Front

What is the image of the point (3, 5) after reflecting it across the x-axis?

Back

The image is (3, -5).

Front

What is the image of the point (-2, 4) after reflecting it across the y-axis?

Back

The image is (2, 4).

Front

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

Back

Swap the coordinates of the point (x, y) to get (y, x).

Front

What is the reflection of the point (0, 0) across any axis?

Back

The reflection is still (0, 0).

Front

If a figure is reflected across the x-axis, how does it affect the y-coordinates of all points in the figure?

Back

All y-coordinates are multiplied by -1.