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4.2 – Congruence & Triangles

4.2 – Congruence & Triangles. Correspondence. When two figures are congruent, their corresponding angles and corresponding sides are congruent. Third Angles Theorem. If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.

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4.2 – Congruence & Triangles

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  1. 4.2 – Congruence & Triangles

  2. Correspondence • When two figures are congruent, their corresponding angles and corresponding sides are congruent

  3. Third Angles Theorem • If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.

  4. Properties of Congruent Triangles • Reflexive – every triangle is congruent to itself. • Symmetric – if  ABC  DEF, then  DEF  ABC. • Transitive - if  ABC  DEF and  DEF   GHI, then  ABC  GHI

  5. Example 1 • If  ABC  DEF, what is  A and  C? • Solution: •  C =  F (Corresponding) •  C = 40 •  A = 180 – 140 •  A = 40

  6. Example 2 • Can these triangles be proven congruent • Yes – All the corresponding angles and sides are congruent • Congruence Statement:  ABC  DEF

  7. Assignment • P. 205 4-21all, 24-29all

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