Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
Example Problems
There is exactly one reflection and no rotation that sends the convex quadrilateral onto itself. What shape(s) could quadrilateral be? Explain.
Suppose is a quadrilateral for which there is exactly one rotation, through an angle larger than and less than , which maps it to itself. Further, no reflections map to itself. What shape is ?
The rock climbing club is comparing two triangular grip panels. The first panel has side lengths , , and . The second panel has side lengths , , and .
Are the two triangles congruent?
Are the two triangles congruent?
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