Reflections and Translations

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 describe a translation of a figure?

Back

A translation is described by a vector that indicates the direction and distance of the movement.

Front

What happens to the coordinates of a point during a translation?

Back

The coordinates of a point change according to the translation vector, but the shape and size of the figure remain the same.

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 is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, such as the x-axis or y-axis.

Front

How does reflecting a point over the y-axis affect its coordinates?

Back

Reflecting a point (x, y) over the y-axis changes its coordinates to (-x, y).

Front

How does reflecting a point over the x-axis affect its coordinates?

Back

Reflecting a point (x, y) over the x-axis changes its coordinates to (x, -y).

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, but may be in different positions or orientations.

Front

What is the effect of a translation on the congruence of figures?

Back

Translations preserve congruence; the original figure and its translation are congruent.

Front

What is the relationship between translations and vectors?

Back

Translations can be represented by vectors that indicate the direction and distance of the movement.