P. 6 Grade 8 Transformations Practice 2024

A transformation is an operation that moves or changes a shape to create a new shape. Common types include translations, rotations, reflections, and dilations.

A translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation, by a certain angle.

(x, y) --> (x + 5, y + 2)

Reflecting a figure over the x-axis means that each point of the figure is mapped to a point directly opposite it on the other side of the x-axis.

The coordinates of each point (x, y) will change to (y, -x) after a 90-degree clockwise rotation.

A rigid motion preserves the shape and size of a figure (e.g., translations, rotations, reflections), while a non-rigid motion may change the size or shape (e.g., dilations).

To determine the sequence of transformations, analyze the positions and orientations of the figures, and identify the necessary translations, rotations, or reflections.

The reflection over the y-axis changes the coordinates to (-3, 4).