Rigid Transformations and Congruence

Apply a coordinate rule to translate (slide) every vertex of a polygon.

Apply coordinate rules to reflect (flip) a polygon across the x-axis or the y-axis.

Determine the translation or reflection that maps an original figure onto its image.

Apply coordinate rules for 90°, 180°, and 270° rotations about the origin.

Graph a figure's image after a sequence of two rigid transformations.

Match corresponding vertices, sides, and angles in an original figure and its image.

Verify that corresponding side lengths and angle measures stay equal after a rigid transformation.

Determine whether two figures are congruent by finding a sequence of translations, reflections, or rotations that maps one figure exactly onto the other.