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, such as the x-axis or y-axis.

Front

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

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

Front

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

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).

Front

What happens when you reflect a point over the line y = x?

Back

When reflecting a point (x, y) over the line y = x, the new coordinates become (y, x).

Front

If point A(3, 4) is reflected over the x-axis, what are the new coordinates?

Back

The new coordinates are (3, -4).

Front

If point B(-2, 5) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates are (2, 5).

Front

What is the result of reflecting the point (0, 0)?

Back

The result is still (0, 0) because the origin is invariant under reflection.

Front

How do you determine the reflection of a shape over a line?

Back

To determine the reflection of a shape, reflect each vertex of the shape over the line and connect the reflected points.

Front

What is the effect of reflecting a shape over the x-axis followed by the y-axis?

Back

The effect is equivalent to rotating the shape 180 degrees around the origin.