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In this lesson on congruent triangles, we define congruent figures as those having the same size and shape. We explore the definition of congruence, emphasizing that if two figures are congruent, they possess identical dimensions. The concept of Corresponding Parts of Congruent Triangles are Congruent (CPCTC) is introduced, stating that two triangles are congruent if their corresponding angles and sides are congruent. We also provide examples of naming congruent triangles while ensuring corresponding vertices are listed in the same order.
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Congruent Triangles Lesson 4-2
Congruent Figures Congruent figures are two figures that have the same size and shape. IF two figures are congruent THEN they have the same size and shape. IF two figures have the same size and shape THEN they are congruent. Two figures have the same size and shape IFF they are congruent.
A C B P R Q Congruent Triangles - CPCTC Corresponding Parts of Congruent Triangles are Congruent CPCTC: Two triangles are congruent IFF their corresponding parts (angles and sides) are congruent. = │ Vertices of the 2 triangles correspond in the same order as the trianglesare named. ≡ A ↔ P; B ↔ Q; C ↔ R Corresponding sides and angles of the two congruent triangles: = │ ≡
C B Z A X Y Congruent Triangles Z A ____ = Y B _____ ≡ │ ≡ │ X C ______ = Note: ∆ ZYX ∆ABC ______ ∆ABC ∆XYZ
Example………… When referring to congruent triangles (or polygons), we must name corresponding vertices in the same order. S U N R A Y R SUN RAY Y A N Also NUS YAR U Also USN ARY S
Example ……… If these polygons are congruent, how do you name them ? P O U N M E S A T R • Pentagon MONTA Pentagon PERSU • Pentagon ATNOM Pentagon USREP • Etc.
