Exploring Rigid Transformations in the Coordinate Plane

What is a rigid transformation?

• A method to calculate the area of a figure after transformation.

• A transformation that preserves the distance and angles, keeping the figure's original size and shape.

• A change that alters the original size and shape of a figure.

• A transformation that only preserves the angles but not the distances.

What does it mean if a figure is congruent after transformation?

• It remains the same in size and shape.

• It has changed in shape but not in size.

• It is completely different in properties.

• It has changed in size but not in shape.

Which of the following is a characteristic of rigid transformations?

• They alter the original angles of the figure.

• They preserve the original size and shape of the figure.

• They change the figure's original color.

• They only preserve the size but not the shape.

How is a mapping used in rigid transformations?

• To provide a rule for how the figure is transformed using coordinates.

• To decide the new texture of the figure's surface.

• To determine the color of the figure after transformation.

• To calculate the perimeter of the new figure.

What does the mapping rule (x, y) -> (-y, x) imply about the transformation?

• The figure will increase in size.

• The figure will move to a new location without rotation.

• The figure will rotate and change size.

• The figure will rotate without changing size or shape.

What indicates a transformation is not rigid?

• The figure changes in size or shape.

• The figure moves to a new location.

• The figure remains the same size.

• The figure changes color.

Which transformation rule results in a non-rigid transformation?

• (x, y) -> (x, y)

• (x, y) -> (x + 3, y)

• (x, y) -> (x, y + 2)

• (x, y) -> (x/2, y)

What happens to a figure if the transformation rule includes multiplication by a number other than one or negative one?

• The figure rotates around its center.

• The figure's size changes, making the transformation non-rigid.

• The figure's color changes.

• The figure becomes translucent.

If a transformation rule is (x, y) -> (2x, y), what can be inferred?

• The transformation makes the figure rotate.

• The transformation is rigid.

• The transformation is not rigid.

• The transformation does not affect the figure.

What is the effect of the transformation rule (x, y) -> (x - 1, y + 10)?

• It makes the figure larger.

• It shifts the figure without changing its size or shape.

• It rotates the figure.

• It changes the figure's color.