Transformations (Translations, Rotations & Reflections)

What is a transformation in geometry?

• A change in the position, size, or shape of a figure.

• A method to calculate the area of a shape.

• A technique to draw geometric figures accurately.

• A process to measure angles in a triangle.

What is a reflection in geometry?

• 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 enlarges or reduces a figure proportionally.

• A transformation that translates a figure along a straight path.

What is the line called that a figure is reflected over?

• Line of reflection

• Axis of symmetry

• Line of symmetry

• Point of reflection

What is the difference between a translation and a reflection?

• Translation flips a figure over a line, while reflection slides it without changing its orientation.

• Translation slides a figure without changing its orientation, while reflection flips it over a line.

• Translation rotates a figure around a point, while reflection mirrors it across an axis.

• Translation stretches a figure, while reflection compresses it.

What is the effect of a 270-degree counter-clockwise rotation on a point (x, y)?

• (-y, x)

• (y, -x)

• (x, y)

• (-x, -y)

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

• (y, -x)

• (-y, x)

• (x, y)

• (-x, -y)

What does a translation do to an image?

• Rotates it

• Flips it

• Slides it

• Resizes it

What is the term for rotating to the left?

• Clockwise

• Counter-clockwise

• Vertical

• Horizontal

What do we call the new figure after a transformation?

• Image

• Shape

• Form

• Figure

What is the term for a transformation that enlarges or reduces a figure?

• Dilation

• Translation

• Rotation

• Reflection