Finer grained standards that are part of this one
A transformation of a figure called the preimage changes the size, shape, or position of the figure to a new figure called the image.
Translations and reflections do not change the size or shape of a figure (e.g., the preimage and image are congruent figures). Translations and reflections change the position of a figure.
A translation is a transformation in which an image is formed by moving every point on the preimage the same distance in the same direction.
A reflection is a transformation in which an image is formed by reflecting the preimage over a line called the line of reflection. All corresponding points in the image and preimage are equidistant from the line of reflection.
The image of a polygon is the resulting polygon after the transformation. The preimage is the polygon before the transformation.
A transformation of preimage point 𝐴 can be denoted as the image 𝐴ʹ (read as “𝐴 prime”).
The preimage of a figure that has been translated and then reflected over the 𝑥- or 𝑦-axis may result in a different transformation than the preimage of a figure that has been reflected over the 𝑥- or 𝑦-axis and then translated.
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to