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Congruent Triangles (part 1) Congruent figures—two geometric figures that have exactly the same size and shape congruent not congruent Corresponding parts—a pair of sides or angles that have the same relative position in two congruent figures Congruence Statement Corresponding Angles Corresponding Sides 1 Congruent Triangles (part 1) In the diagram, ∆TJM ≅ ∆PHS. Complete the statement. Use the given information to find the values of x and y. F A (y2 + 9)° 89° 57° B D C (145 – 8x)° E 2 Congruent Triangles (part 1) Third Angles Theorem If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent. Are the figures congruent? If so, write a congruence statement. E H G F I 3 Congruent Triangles (part 1) Properties of Congruent Triangles REFLEXIVE PROPERTY SYMMETRIC PROPERTY TRANSITIVE PROPERTY 4