Translation, Reflection, Rotation Practice

What is a rotation in geometry?

• A transformation that turns a shape around a fixed point, called the center of rotation.

• A type of transformation that stretches a shape in one direction.

• A process of flipping a shape over a line to create a mirror image.

• A method of sliding a shape from one position to another without changing its size.

How do you find the image of a shape after a rotation?

• You apply the rotation rule to each vertex of the shape.

• You mirror the shape across a line.

• You translate the shape to a different position.

• You scale the shape to a larger size.

What is the rule for rotating a point (x, y) 90° clockwise about the origin?

• (x, y) becomes (y, -x)

• (x, y) becomes (-y, x)

• (x, y) becomes (-x, -y)

• (x, y) becomes (x, y)

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

• The coordinates become (x, -y).

• The coordinates become (y, x).

• The coordinates become (-x, y).

• The coordinates become (y, -x).

What is a reflection in geometry?

• A transformation that rotates a shape around a point.

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

• A transformation that enlarges or reduces a shape proportionally.

• A transformation that translates a shape to a different location.

What is the difference between a rotation and a reflection?

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

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

• A rotation and a reflection are the same thing.

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

If triangle ABC is rotated 90° clockwise, what happens to the orientation of the triangle?

• The orientation of the triangle remains the same, and its vertices will be in the same position.

• The orientation of the triangle changes, and its vertices will be in a new position.

• The triangle becomes larger and its orientation changes.

• The triangle flips upside down but retains its original orientation.

What is the result of reflecting a point (3, 5) over the line y = x?

• (5, 3)

• (3, 5)

• (5, -3)

• (-3, 5)

If a point (a, b) is reflected over the x-axis, what are the new coordinates?

• (a, b)

• (a, -b)

• (-a, b)

• (-a, -b)

What is the rule for rotating a point (x, y) 180° about the origin?

• (x, y) becomes (x, y)

• (x, y) becomes (-x, -y)

• (x, y) becomes (y, x)

• (x, y) becomes (y, -x)