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Educating Our Eagles - Issue 19

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HIGH SCHOOL:<br />

Triangle Congruence<br />

This ninth grade lesson involves the determination of triangle congruence. Students<br />

are required to evaluate the congruence based not only on measurements but also<br />

on rigid mapping of one figure onto the other. This mapping is a series of rigid<br />

transformations. This rigid transformation helps students grasp the concepts of congruence.<br />

Congruence is defined by this concept of rigid mapping.<br />

As a result of instruction students will be able to:<br />

• determine whether or not two figures are congruent.<br />

Observations:<br />

Students liked the process of moving figures by the rules of transformations. They could<br />

literally watch the figures mapping themselves onto one another.<br />

MA Standards:<br />

Geometry, Congruence, B.8. Explain how the criteria for triangle congruence (ASA, SAS,<br />

& SSS) follow the definition of congruence in terms of rigid motions.<br />

EDUCATING OUR EAGLES<br />

10

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