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Congruent triangles are similar figures with a ratio of similarity of 1, that is

1

1

. One

way to prove triangles congruent is to prove they are similar first, and then prove

that the ratio of similarity is 1. In these sections of the text the students find short

cuts that enable them to prove triangles congruent in fewer steps, by developing

five triangle congruence conjectures. They are SSS! , ASA! , AAS! , SAS! , and

HL ! , illustrated below.

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