Students use the definition of “congruent” and properties of congruent figures to justify claims of congruence or non-congruence. They recognize when one plane figure is congruent or not congruent to another. They learn to understand congruence of plane figures in terms of rigid transformations.
They use rigid transformations to generate shapes and to reason about measurements of figures. Delta math composition of transformations rigid motions answers. Direct, proper or rigid motions are motions like translations and rotations that preserve the orientation of a chiral shape. They draw images of figures under rigid transformations on and off square grids and the coordinate plane. Rigid motion vs Isometry - Mathematics Stack Exchange. They learn to understand and use the terms “transformation” and “rigid transformation.” They identify and describe translations, rotations, and reflections, and sequences of these, using the terms “corresponding sides” and “corresponding angles,” and recognizing that lengths and angle measures are preserved. In this unit, students learn to understand and use the terms “reflection,” “rotation,” “translation,” recognizing what determines each type of transformation, e.g., two points determine a translation.
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