Rigid Motion Transformations

If a figure is translated 5 units to the right and 3 units up, what is the transformation of the point (2, 1)?

• (5, 4)

• (7, 4)

• (2, 1)

• (5, 1)

What is a rigid motion transformation?

• A transformation that preserves distances and angles, meaning the shape and size of the figure remain unchanged.

• A transformation that alters the size of a figure but keeps its shape.

• A transformation that changes the angles of a figure while keeping the distances the same.

• A transformation that rotates a figure without changing its position.

What is the difference between a rotation and a reflection?

• A rotation flips a figure over a line, while a reflection turns a figure around a point.

• A rotation turns a figure around a point, while a reflection flips a figure over a line.

• A rotation and a reflection are the same transformation.

• A rotation changes the size of a figure, while a reflection does not.

What happens to the coordinates of a point (x, y) when reflected across the y-axis?

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

• The new coordinates will be (y, x).

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

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

What is the image in transformations?

• The original figure before any transformation is applied.

• The resulting figure after a transformation has been applied to the pre-image.

• A figure that has not been altered in any way.

• The process of changing the size or position of a figure.

What is the angle of rotation for a 180° rotation?

• The figure remains in the same position.

• The figure is turned halfway around the center of rotation, resulting in a figure that is upside down.

• The figure is rotated 90° clockwise.

• The figure is rotated 270° counterclockwise.

What is the pre-image in transformations?

• The final figure after transformation is applied.

• The original figure before any transformation is applied.

• The process of changing a figure's position.

• The size of the figure after transformation.

What is reflection in rigid motion?

• A transformation that flips a figure over a line, creating a mirror image.

• A transformation that rotates a figure around a point.

• A transformation that translates a figure along a line.

• A transformation that scales a figure to a different size.

True or False: A rigid motion transformation can change the size of a figure.

• True

• False

• It depends on the type of transformation

• Only in certain dimensions

What are the types of rigid motion transformations?

• Translation, rotation, and reflection.

• Scaling, shearing, and stretching.

• Translation, dilation, and compression.

• Reflection, rotation, and distortion.