Reflections

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape 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 shape 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 point will be (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 point will be (-x, y).

Front

What happens to the coordinates of a point when it is reflected over the line y = x?

Back

When reflected over the line y = x, the coordinates of a point (x, y) become (y, x).

Front

What is the result of reflecting the point (3, 4) over the y-axis?

Back

The result is (-3, 4).

Front

What is the result of reflecting the point (-2, 5) over the x-axis?

Back

The result is (-2, -5).

Front

If a triangle is reflected over the y-axis, what happens to its vertices?

Back

The x-coordinates of the vertices change sign, while the y-coordinates remain the same.

Front

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

Back

The reflection is (3, -5).

Front

How do you determine the coordinates of a reflected point?

Back

To determine the coordinates of a reflected point, apply the transformation rules based on the line of reflection.