Transformation

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 a shape while maintaining its proportions.

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

What is the rule for translating a point 2 units left and 3 units up?

• (x, y) → (x - 2, y + 3)

• (x, y) → (x + 2, y - 3)

• (x, y) → (x - 2, y - 3)

• (x, y) → (x + 2, y + 3)

What is the effect of a reflection across the x-axis?

• It changes the sign of the y-coordinate: (x, y) → (x, -y).

• It changes the sign of the x-coordinate: (x, y) → (-x, y).

• It leaves the coordinates unchanged: (x, y) → (x, y).

• It swaps the coordinates: (x, y) → (y, x).

What is the transformation that moves a shape without changing its size or shape?

• Rigid transformation

• Scaling transformation

• Shearing transformation

• Non-rigid transformation

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.

What is the rule for reflecting a point across the line y = x?

• (x, y) → (x, y)

• (x, y) → (y, x)

• (x, y) → (-x, -y)

• (x, y) → (y, -x)

What is a translation in geometry?

• A transformation that rotates a shape around a point.

• A transformation that moves every point of a shape or object a constant distance in a specified direction.

• A transformation that reflects a shape over a line.

• A transformation that changes the size of a shape.

What is the effect of a translation of 5 units right and 2 units down?

• (x, y) → (x + 5, y - 2)

• (x, y) → (x - 5, y + 2)

• (x, y) → (x + 2, y - 5)

• (x, y) → (x - 2, y + 5)

What is the rule for reflecting a point across the y-axis?

• (x, y) → (-x, y)

• (x, y) → (x, -y)

• (x, y) → (-y, -x)

• (x, y) → (y, x)

What is the difference between a translation and a rotation?

• A translation moves a shape without changing its orientation, while a rotation turns a shape around a point.

• A translation rotates a shape around a point, while a rotation moves a shape without changing its orientation.

• A translation changes the size of a shape, while a rotation keeps the size the same.

• A translation flips a shape over a line, while a rotation moves it in a circular path.