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4.2 Congruence and Triangles

4.2 Congruence and Triangles. Identify congruent figures and corresponding parts. Prove that 2 triangles are congruent. Congruence and Correspondence.

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4.2 Congruence and Triangles

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  1. 4.2 Congruence and Triangles Identify congruent figures and corresponding parts Prove that 2 triangles are congruent

  2. Congruence and Correspondence • When 2 figures are congruent there is a correspondence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent.

  3. Z • If Δ ABC is  to Δ XYZ, which angle is  to C?

  4. 3rd Angles Theorem • If two ’s of one triangle are  to two ’s of another triangle, then the third ’s are also .

  5. ARE THESE 2 TRIANGLES CONGRUENT?

  6. Example: find x ) ) 22o )) 87o )) (4x+15)o

  7. Example: Continued 22+87+4x+15=180 4x+15=71 4x=56 x=14

  8. Ex: ABCD is  to HGFE, find x and y. F E 9cm B (5y-12)o A 91o 86o H G 113o 4x-3cm D C 4x-3=9 5y-12=113 4x=12 5y=125 x=3 y=25

  9. Properties of Congruent Triangles(Theorem 4.4) 1. Reflexive: 2. Symmetric: 3.Transitive:

  10. Writing a Congruence Statement D C A B F E

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