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AA
A method for proving similarity of triangles: if two angles are congruent to their corresponding parts in another triangle, then the triangles are similar.
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AAS
A method for proving congruence of triangles: if two angles and a side not included by those angles are congruent to their corresponding parts in another triangle, then the triangles are congruent.
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ASA
A method for proving congruence of triangles: if two angles and their included side are congruent to their corresponding parts in another triangle, then the triangles are congruent.
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Congruent Triangles
Triangles whose corresponding angles and sides are all congruent.
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Congruent Polygons
Polygons whose corresponding sides and interior angles are all congruent.
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Corresponding Parts
The angles or sides in a polygon organized such that each angle and each side coincides with exactly one angle or side in another polygon--the pairs of angles and sides in each polygon are called corresponding parts.
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Hypotenuse-Leg
A method for proving congruence of right triangles: if one leg and the hypotenuse are congruent to their corresponding parts in another right triangle, the right triangles are congruent.
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SAS
A method for proving congruence or similarity of triangles: if two sides are congruent or proportional and their included angle is congruent to their corresponding parts of another triangle, then the triangles are congruent or similar, respectively.
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Similar Triangles
Triangles whose corresponding angles are congruent and whose corresponding sides are proportional. Congruence is a subset of similarity.
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SSS
A method for proving the congruence or similarity of triangles: if the three sides of a triangle are congruent to their corresponding parts, then the triangles are congruent. If the three sides of a triangle are proportional to their corresponding parts in another triangle, then the triangles are similar.
