Reflections and Translations Practice

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

How do you translate a point (x, y) to a new point (x', y')?

Back

To translate a point (x, y) to (x', y'), you apply the translation rule: (x', y') = (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What is the image in a transformation?

Back

The image is the result of a transformation applied to a pre-image.

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 does it mean for a transformation to be rigid?

Back

A rigid transformation preserves the size and shape of a figure.

Front

What is the line of reflection?

Back

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

Front

If Point A (3, -8) is translated to A'(-4, -5), what is the translation rule?

Back

The translation rule is (x - 7, y + 3).

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, its coordinates change to (x, -y).

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, its coordinates change to (-x, y).