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Lesson 4-2

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.

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Lesson 4-2

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  1. Congruent Triangles Lesson 4-2 Lesson 4-2: Congruent Triangles

  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 are congruent IF AND ONLY IF they have the same size and shape. Lesson 4-2: Congruent Triangles

  3. A C B R T S Congruent Triangles - CPCTC Two triangles are congruent IFF their corresponding parts (angles and sides) are congruent. CPCTC: Corresponding Parts of Congruent Triangles are Congruent = │ Vertices of the 2 triangles correspond in the same order as the trianglesare named. ≡ A ↔ R; B ↔ S; C ↔ T Corresponding sides and angles of the two congruent triangles: = │ ≡ Lesson 4-2: Congruent Triangles

  4. C B Z A X Y Congruent Triangles  Z  A  ____ =  Y  B  _____ ≡ │ ≡ │  X  C  ______ = Note: ∆ ZYX ∆ABC  ______ ∆ABC ∆XYZ Lesson 4-2: Congruent Triangles

  5. 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 Lesson 4-2: Congruent Triangles

  6. 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. Lesson 4-2: Congruent Triangles

  7. Example ……… Given ΔABC ≅ ΔXYZ , AB = 26, YZ = 30, XY = 4x + 2. Find the value of x. Y B • Draw. • Label. • Get equation. • Solve. 30 4x+2 26 A C X Z 4x+2 = 26 4x = 24 x = 6 Lesson 4-2: Congruent Triangles

  8. Example ……… Given ΔEFG ≅ ΔPQR , m∠E = 95 , m∠R = 32 , and m∠F = 4x +13. Find the value of x. F Q 4x+13 • Draw. • Label. • Get equation. • Solve. 4x+13+95+32=180 4x+140=180 4x=40 x=10 32 95 E G P R Lesson 4-2: Congruent Triangles

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