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43 Congruent Triangles.notebook October 29, 2014 ANGLES Given Statement Reason 1 / 1 + / 2 + / 3 = 180 2 Sum 3 / 1& / 2 are complementary acute angles in rt. 1 2 1 2 / 1 = / 2 = / 3 = 60o angles in equiangular 3 1 2 / 1 + / 2 = / 3 Ext. angle thm 3 Chapter 43: Congruent Triangles Congruence in Geometric Figures Two geometric figures are congruent iff they have exactly the same size and shape. When two figures are congruent, there is a correspondence between their angles and sides such that corresponding angles and corresponding sides are congruent. 1 43 Congruent Triangles.notebook October 29, 2014 CPCTC= CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT!!! Example 1 1) Write the congruence statement in another order: a) List the corresponding sides b) List the corresponding angles 2 43 Congruent Triangles.notebook October 29, 2014 THIRD ANGLE THEOREM If two angles in one triangle are congruent to two angles in the other triangle, then the third pair of angles are congruent. Example 2: Solve for the variable! "Angles Tool Chest" (Put this right behind your other Tool Chest that you have already made!) Given Statement Reason 3 43 Congruent Triangles.notebook October 29, 2014 Example 3 Example 3 4 43 Congruent Triangles.notebook October 29, 2014 Example 4 9. m / E ___________ Consecutive vertices are the endpoints of a side. Always name a polygon using consecutive vertices. 24o Homework Assignment #35: p. 259: #916 all, 1820 all, 29,37,49,53,55 5

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