Translations and Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

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 to get (-x, y).

Front

What are the coordinates of the reflection of point (3, 4) over the x-axis?

Back

The reflection of (3, 4) over the x-axis is (3, -4).

Front

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

Back

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

Front

If point A(2, 3) is reflected over the line y = -x, what are the new coordinates?

Back

The new coordinates of point A after reflection over y = -x are (-3, -2).

Front

What is the result of reflecting the point (-4, 5) over the y-axis?

Back

The result is (4, 5).

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is flipped to create a mirror image.

Front

How do you reflect a point over a vertical line, such as x = k?

Back

To reflect a point (x, y) over the line x = k, use the formula (2k - x, y).

Front

What is the reflection of the point (0, -3) over the x-axis?

Back

The reflection is (0, 3).