Geometry Transformations

Dilation

• A transformation that changes the size and shape of a figure.

• A transformation that only changes the angle measurements of a figure.

• A transformation that changes the size (side lengths) of a figure but not its shape (angle measurements).

• A transformation that reflects a figure over a line.

Reflection

• A type of rigid transformation that flips a figure over a line of reflection, creating a mirror image. This preserves size, shape and distance from the line of reflection.

• A transformation that enlarges a figure while maintaining its shape.

• A transformation that rotates a figure around a point, changing its orientation.

• A transformation that translates a figure to a different location without changing its size or shape.

Line of Reflection

• The line that divides a shape into two equal parts.

• The line over which a figure is flipped to create a mirror image in a reflection.

• The line that connects the midpoints of two sides of a triangle.

• The line that represents the axis of symmetry in a shape.

Similar

• Figures that have the same shape (angle measurements) but not the same size.

• Figures that are identical in shape and size.

• Figures that have different shapes but the same area.

• Figures that are congruent and have the same dimensions.

Scale Factor (k)

• The ratio that describes how much a figure is enlarged or reduced during a dilation.

• The measurement of the area of a figure after dilation.

• The distance between two points in a figure.

• The angle of rotation applied to a figure.

Composition of Transformations

• A single transformation applied to a figure.

• A combination of two or more transformations applied to a figure.

• The process of rotating a figure around a point.

• The reflection of a figure across a line.

Center of Rotation

• The point where all lines intersect.

• The fixed point around which a figure is rotated.

• The center of mass of an object.

• The point at which an object is balanced.

Translation

• A type of rigid transformation that slides a figure in any direction without changing its shape, size or orientation.

• A transformation that rotates a figure around a fixed point.

• A transformation that enlarges or reduces a figure proportionally.

• A transformation that flips a figure over a line.

Rigid Transformation

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

• A transformation that preserves the shape (angle measurements) and size (side lengths) of a figure.

• A transformation that only changes the position of a figure without altering its dimensions.

• A transformation that distorts the figure while maintaining its overall appearance.

Rotation

• A type of rigid transformation that stretches a figure away from a fixed point.

• A type of rigid transformation that turns a figure around a fixed point (center of rotation).

• A type of transformation that changes the size and shape of a figure.

• A type of transformation that reflects a figure over a line.