Reflections and Translations

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is the line of reflection for a reflection across the x-axis?

Back

The x-axis itself, where each point (x, y) is transformed to (x, -y).

Front

How do you reflect a point (x, y) over the y-axis?

Back

The point is transformed to (-x, y).

Front

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

Back

The y-coordinate changes sign, resulting in (x, -y).

Front

What is a translation in geometry?

Back

A transformation that slides a figure from one position to another without changing its shape or orientation.

Front

If a point (x, y) is translated by (a, b), what are the new coordinates?

Back

The new coordinates are (x + a, y + b).

Front

What does the transformation (x, y) --> (x + 2, y - 3) represent?

Back

A translation 2 units to the right and 3 units down.

Front

What is the effect of reflecting a point across the y-axis?

Back

The x-coordinate changes sign, resulting in (-x, y).

Front

What is the line of reflection for a reflection across the y-axis?

Back

The y-axis itself, where each point (x, y) is transformed to (-x, y).

Front

How do you determine the line of reflection for a given transformation?

Back

Identify the line that is equidistant from the original and reflected points.