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Chapter 8
Congruence of Triangles
Term | Definition |
---|---|
Congruent Line Segments | line segments that have the same length |
Congruent Angles | angles that are equal in measure |
Corresponding Sides | sides that have the same relative positions in geometric figures |
Corresponding Angles | angles that have the same relative positions in geometric figures |
SSS Congruence Theorem (Side-Side-Side) | if three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent |
Included Angle | the angle formed by two sides of a triangle |
SAS Congruence Theorem (Side-Angle-Side) | if two sides and the included angle of one triangle are congruent to the corresponding two sides and included angle of a second triangle, then the triangles are congruent |
Included Side | the line segment between two angles of a triangle |
ASA Congruence Theorem (Angle-Side-Angle) | if two angles and the included side of one triangle are congruent to the corresponding two angles and the included side of another triangle, then the triangles are congruent |
AAS Congruence Theorem (Angle-Angle-Side) | if two angles and a non-included side of one triangle are congruent to the corresponding angles and the corresponding non-included side of a second triangle, then the triangles are congruent |