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

State the line of reflection for the point (x, y) across the x-axis.

Back

The line of reflection is the x-axis, which changes the y-coordinate to its opposite: (x, -y).

Front

State the line of reflection for the point (x, y) across the y-axis.

Back

The line of reflection is the y-axis, which changes the x-coordinate to its opposite: (-x, y).

Front

What does it mean for two geometric figures to be congruent?

Back

Two geometric figures are congruent if they have the same size and the same shape.

Front

How do you reflect a point across the line x = k?

Back

To reflect a point (x, y) across the line x = k, the new point will be (2k - x, y).

Front

How do you reflect a point across the line y = k?

Back

To reflect a point (x, y) across the line y = k, the new point will be (x, 2k - y).

Front

What is the color of the y-axis in a standard Cartesian plane?

Back

The y-axis is typically represented in black.

Front

Reflect the point (3, 4) across the y-axis.

Back

The reflected point is (-3, 4).

Front

Reflect the point (-2, 5) across the x-axis.

Back

The reflected point is (-2, -5).