8.22

Verify experimentally the properties of rigid motions (rotations, reflections, and translations): lines are taken to lines, and line segments are taken to line segments of the same length; angles are taken to angles of the same measure; and parallel lines are taken to parallel lines.

8.22.aGiven a pair of two-dimensional figures, determine if a series of rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are congruent; describe the transformation sequence that verifies a congruence relationship.
Example Problems
Write the equation of a line that is parallel to and that passes through the point .
Write the equation of a line that is perpendicular to and that passes through the point .
Write the equation of a line that is parallel to and that passes through the point .
Khan Academy Resources
Dilations: scale factorDilate trianglesSimilarity & transformationsDilations and propertiesDilations: scale factorRigid transformations introSimilar shapes & transformations
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