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 its image are congruent.

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a figure a constant distance in a specified direction.

Front

What does the vector <3, -3> represent in a translation?

Back

The vector <3, -3> indicates that a figure is moved 3 units to the right and 3 units down.

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 does a 180-degree rotation about the origin do to a point (x, y)?

Back

A 180-degree rotation about the origin transforms the point (x, y) to (-x, -y).

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 does reflecting a figure in the line y = x do to the coordinates of a point (x, y)?

Back

Reflecting a point (x, y) in the line y = x transforms it to (y, x).

Front

What is the effect of reflecting a figure in the x-axis?

Back

Reflecting a figure in the x-axis changes the sign of the y-coordinates of all points in the figure.

Front

What is the result of reflecting a figure in the y-axis?

Back

Reflecting a figure in the y-axis changes the sign of the x-coordinates of all points in the figure.

Front

What is the combined effect of two reflections in intersecting lines?

Back

Two reflections in intersecting lines result in a rotation about the point of intersection.