Preserve Congruence Transformations

Front

What is a congruence transformation?

Back

A transformation that preserves the shape and size of a figure, resulting in a figure that is congruent to the original.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, even if their positions or orientations differ.

Front

What is a translation in geometry?

Back

A transformation that moves every point of a figure the same distance in a specified direction.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point at a certain angle.

Front

What is the effect of a translation on a figure?

Back

A translation results in a figure that is congruent to the original, maintaining its shape and size.

Front

What happens to a figure during a reflection?

Back

The figure is flipped over a line, resulting in a congruent figure that is oriented differently.

Front

What is the significance of the y-axis in reflections?

Back

Reflecting a figure across the y-axis means that each point's x-coordinate is negated, creating a mirror image.

Front

What is the significance of the x-axis in reflections?

Back

Reflecting a figure across the x-axis means that each point's y-coordinate is negated, creating a mirror image.

Front

What is the result of a 90° clockwise rotation?

Back

A transformation that turns a figure 90 degrees to the right around a fixed point.