Rigid Transformations Flashcard

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. The three types of rigid transformations are translations, rotations, and reflections.

Front

How do you translate a point in the coordinate plane?

Back

To translate a point, you add a specific value to the x-coordinate and a specific value to the y-coordinate. For example, translating point (x, y) by (a, b) results in the new point (x+a, y+b).

Front

What are the coordinates of point H(–6, 2) after translating it 4 units up and 3 units right?

Back

The new coordinates are H'(-3, 6).

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image. The line of reflection is the perpendicular bisector of the segment connecting corresponding points.

Front

How do you identify the line of reflection for a figure?

Back

The line of reflection is equidistant from corresponding points of the original figure and its image. It bisects the segment connecting these points.

Front

What is the result of reflecting a point (x, y) over the y-axis?

Back

The result is the point (-x, y).

Front

What is the result of reflecting a point (x, y) over the x-axis?

Back

The result is the point (x, -y).

Front

What are the coordinates of triangle RST after translating it 4 units to the left and 2 units down?

Back

The new coordinates are R'(-5, -1), S'(-1, -1), and T'(-1, -6).

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 in a specified direction.

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

The new coordinates after a 90° clockwise rotation are (y, -x).