Translations and Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

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

Back

The line of reflection is the x-axis, where each point (x, y) is transformed to (x, -y).

Front

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

Back

The line of reflection is the y-axis, where each point (x, y) is transformed to (-x, y).

Front

What is the effect of a translation on the coordinates of a point?

Back

A translation changes the coordinates of a point by adding specific values to the x and y coordinates.

Front

If a figure is translated 5 units left and 1 unit up, what is the transformation rule?

Back

The transformation rule is (x, y) -> (x - 5, y + 1).

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a fixed point, while a reflection flips it over a line.

Front

What is the result of reflecting a point (3, 4) across the x-axis?

Back

The result is the point (3, -4).

Front

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

Back

The result is the point (-3, 4).