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

What is a reflection in geometry?

Back

A reflection is a type of transformation that flips a figure over a line, creating a mirror image.

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

Front

How do you perform a translation of a point (x, y) 4 units left and 2 units down?

Back

The new coordinates will be (x-4, y-2).

Front

What are the coordinates of point R(-1, 1) after a translation 4 units left and 2 units down?

Back

The new coordinates will be R'(-5, -1).

Front

What does the notation (x-4, y) indicate in a translation?

Back

It indicates that the point is moved 4 units to the left along the x-axis, while the y-coordinate remains unchanged.

Front

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

Back

The new coordinates will be (-x, y), meaning the x-coordinate changes sign while the y-coordinate remains the same.

Front

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

Back

The new coordinates will be (x, -y), meaning the y-coordinate changes sign while the x-coordinate remains the same.

Front

If triangle RST has vertices R(-1, 1), S(3, 1), and T(3, -4), what are the coordinates after a reflection over the y-axis?

Back

The new coordinates will be R'(1, 1), S'(-3, 1), and T'(-3, -4).