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?

Back

The line of reflection is the line over which a figure is reflected.

Front

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

Back

The coordinates become (x, -y).

Front

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

Back

The coordinates become (-x, y).

Front

What happens to the coordinates of a point (x, y) when reflected across the line y = k?

Back

The new coordinates are (x, 2k - y).

Front

Identify the line of reflection for the point (2, 3) reflected to (2, -1).

Back

The line of reflection is y = 1.

Front

If a point (a, b) is reflected across the line y = -3, what are the new coordinates?

Back

The new coordinates are (a, -6 - b).

Front

What is the result of reflecting the point (4, 1) across the x-axis?

Back

The result is (4, -1).

Front

What is the result of reflecting the point (1, 4) across the line y = -3?

Back

The result is (1, -10).

Front

How do you determine the line of reflection between two points?

Back

The line of reflection is the perpendicular bisector of the segment connecting the two points.