Rigid Transformations and Congruence TestB

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define translation in geometry.

Back

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

Front

What does it mean to reflect a figure over the x-axis?

Back

To flip the figure over the x-axis, changing the sign of the y-coordinates of each point.

Front

What does it mean to reflect a figure over the y-axis?

Back

To flip the figure over the y-axis, changing the sign of the x-coordinates of each point.

Front

How do you perform a 90 degrees clockwise rotation?

Back

To rotate a point (x, y) 90 degrees clockwise, the new coordinates become (y, -x).

Front

What is the result of a 180 degrees rotation?

Back

To rotate a point (x, y) 180 degrees, the new coordinates become (-x, -y).

Front

What is the result of a 270 degrees clockwise rotation?

Back

To rotate a point (x, y) 270 degrees clockwise, the new coordinates become (-y, x).

Front

What is the translation rule for moving a figure 2 units right and 6 units down?

Back

The translation rule is (x + 2, y - 6).

Front

What is congruence in geometry?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other using rigid transformations.

Front

How can you identify a translation of a figure?

Back

By observing that all points of the figure move the same distance in the same direction.