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Congruent Polygons
Congruent polygons are polygons that have corresponding sides congruent and corresponding angles congruent.
SSS Postulate
If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.
SAS Postulate
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
ASA Postulate
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
AAS Theorem
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
HL Theorem
If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.
Isosceles Triangle Theorem
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Converse of the Isosceles Triangle Theorem
If two angles of a triangle are congruent, then the sides opposite the angles are congruent.
Midsegment
A segment that joins two midpoints of a triangle.
Triangle Midsegment Theorem
If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side, and is half its length.
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