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4.2 Congruent Triangles                                      October 11, 2011




                                   4.2 Congruence & Triangles
    Congruent Figures: all of the parts in 1 figure are ≅ to the
    corresponding parts of the other.




HW pg. 228 #3­15 odd, 19­21 & 26                                                1
4.2 Congruent Triangles            October 11, 2011




HW pg. 228 #3­15 odd, 19­21 & 26                      2
4.2 Congruent Triangles                                     October 11, 2011




    Third Angle Theorem
    If 2 angles in one ∆ are = in measure to 2 angles of another ∆,
    then the 3rd angle in each triangle are ≅ .

                           B              E
                                                  <A ≅ <D & <B ≅ <E;
                                                  therefore <C ≅ <F
                               C              F
                   A               D




HW pg. 228 #3­15 odd, 19­21 & 26                                               3
4.2 Congruent Triangles            October 11, 2011




HW pg. 228 #3­15 odd, 19­21 & 26                      4
4.2 Congruent Triangles                         October 11, 2011




        Theorem 4.4 Properties of Congruent Triangles
        Reflexive: ABC ≅ ABC

        Symmetric: If ABC ≅ DEF, then DEF ≅ ABC

        Transitive: If ABC ≅ DEF & DEF ≅       JKL,
                     then ABC ≅ JKL




HW pg. 228 #3­15 odd, 19­21 & 26                                   5
4.2 Congruent Triangles            October 11, 2011




      HW pg. 228 #3-15 odd, 19-21 & 26




HW pg. 228 #3­15 odd, 19­21 & 26                      6

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4.2 notes

  • 1. 4.2 Congruent Triangles October 11, 2011 4.2 Congruence & Triangles Congruent Figures: all of the parts in 1 figure are ≅ to the corresponding parts of the other. HW pg. 228 #3­15 odd, 19­21 & 26 1
  • 2. 4.2 Congruent Triangles October 11, 2011 HW pg. 228 #3­15 odd, 19­21 & 26 2
  • 3. 4.2 Congruent Triangles October 11, 2011 Third Angle Theorem If 2 angles in one ∆ are = in measure to 2 angles of another ∆, then the 3rd angle in each triangle are ≅ . B E <A ≅ <D & <B ≅ <E; therefore <C ≅ <F C F A D HW pg. 228 #3­15 odd, 19­21 & 26 3
  • 4. 4.2 Congruent Triangles October 11, 2011 HW pg. 228 #3­15 odd, 19­21 & 26 4
  • 5. 4.2 Congruent Triangles October 11, 2011 Theorem 4.4 Properties of Congruent Triangles Reflexive: ABC ≅ ABC Symmetric: If ABC ≅ DEF, then DEF ≅ ABC Transitive: If ABC ≅ DEF & DEF ≅ JKL, then ABC ≅ JKL HW pg. 228 #3­15 odd, 19­21 & 26 5
  • 6. 4.2 Congruent Triangles October 11, 2011 HW pg. 228 #3-15 odd, 19-21 & 26 HW pg. 228 #3­15 odd, 19­21 & 26 6