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Download Section 14.1 Congruence of Triangles - Math KSU
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Transcript
Mathematics 320 MWF 1:30PM Instructor: Michael Scott Section 14.1: Congruent Triangles Definition. Two figures are said to be congruent if they have the same size and shape. Remark. Triangles are congruent if their corresponding sides and angles are congruent. Postulates: • Side-Angle-Side (SAS) Congruence: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. • Angle-Side-Angle (ASA) Congruence: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. • Side-Side-Side (SSS) Congruence: If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent. Theorem. Opposite sides of a parallelogram are congruent. Opposite angles of a parallelogram are congruent. Department of Mathematics, Kansas State University E-mail address: [email protected] 1
