Geometry CP 4.4-4.5 Check-up

Front

What is a congruence transformation?

Back

A congruence transformation is a geometric transformation that preserves the shape and size of a figure, meaning the original figure and the transformed figure are congruent.

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

The reflection of a point (x, y) over the x-axis results in the point (x, -y).

Front

What is the effect of a reflection over the y-axis on a point (x, y)?

Back

The reflection of a point (x, y) over the y-axis results in the point (-x, y).

Front

What is the effect of a reflection over the line y = x on a point (x, y)?

Back

The reflection of a point (x, y) over the line y = x results in the point (y, x).

Front

What is the effect of a reflection over the line y = -x on a point (x, y)?

Back

The reflection of a point (x, y) over the line y = -x results in the point (-y, -x).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a specified angle.

Front

What is the result of a 90-degree counterclockwise rotation about the origin for the point (x, y)?

Back

The result of a 90-degree counterclockwise rotation about the origin for the point (x, y) is the point (-y, x).

Front

What is the result of a 180-degree rotation about the origin for the point (x, y)?

Back

The result of a 180-degree rotation about the origin for the point (x, y) is the point (-x, -y).

Front

What is the result of a 270-degree counterclockwise rotation about the origin for the point (x, y)?

Back

The result of a 270-degree counterclockwise rotation about the origin for the point (x, y) is the point (y, -x).

Front

What is the distance between two points after reflection over two parallel lines?

Back

The distance between the original point and its image after reflection over two parallel lines is twice the distance between the two parallel lines.