Rigid Transformations Practice Test

Front

What is a rigid transformation?

Back

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

Front

Define translation in geometry.

Back

A translation is a type of rigid transformation that slides a figure from one position to another without changing its shape, size, or orientation.

Front

What is a reflection in geometry?

Back

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

Front

Explain rotation in the context of rigid transformations.

Back

A rotation is a rigid transformation that turns a figure around a fixed point at a specified angle.

Front

What does it mean to rotate a figure 90 degrees clockwise?

Back

Rotating a figure 90 degrees clockwise means turning it a quarter turn to the right around a fixed point.

Front

What is the algebraic representation of a translation 5 units right and 9 units down?

Back

The algebraic representation is (x, y) → (x + 5, y - 9).

Front

How do you reflect a point across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates become (x, -y).

Front

What is the difference between a translation and a reflection?

Back

Translations slide a figure while reflections flip a figure.

Front

What is the algebraic representation for a rotation of 180 degrees?

Back

The algebraic representation is (x, y) → (-x, -y).

Front

If triangle ABC is rotated 270 degrees counterclockwise, what is the new position of point A at (x, y)?

Back

The new position of point A will be (y, -x).