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In my Geometry classes the students are working on identifying congruent triangles.  There are some shortcuts to determine if triangles are congruent.  Those shortcuts are ASA(angle-side-angle), SAS (side-angle-side), SSS (side, side, side), AAS (angle-angle-side), and HL (Hypotenuse, Leg). Students will use different rules/postulates from previous chapters to identify what parts of each triangle are congruent.