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4.2 – Apply Congruence and Triangles What makes a geometric figure congruent? 4.2 – Apply Congruence and Triangles In two congruent figures, all the parts of one figure are congruent to the corresponding parts of the other figure. 4.2 – Apply Congruence and Triangles Congruence Statements When you write a congruence statement for two polygons, always list the corresponding vertices in the same order. 4.2 – Apply Congruence and Triangles Example 1: Write a congruence statement for the triangles. Identify all pairs of congruent corresponding parts. 4.2 – Apply Congruence and Triangles Example 2: Write a congruence statement for the triangles. Identify all pairs of congruent corresponding parts. 4.2 – Apply Congruence and Triangles Example 3: In the diagram, a. Find the value of x. b. Find the value of y. 4.2 – Apply Congruence and Triangles Example 4: If you divide the wall into orange and blue sections along segment JK, will the sections of the wall be the same size and shape? Explain. 4.2 – Apply Congruence and Triangles 4.2 – Apply Congruence and Triangles Example 5: Find m<BDC. 4.2 – Apply Congruence and Triangles 4.2 – Apply Congruence and Triangles 4.2 – Apply Congruence and Triangles 4.2 – Apply Congruence and Triangles