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Lesson 6-5

Lesson 6-5. Congruent Polygons. Definitions. Congruent Polygons - Polygons that have the same size and shape. If two polygons are congruent, their corresponding sides are congruent and their corresponding angles are congruent. F. B. G. A. C. H. Congruent Angles -. Congruent Sides -.

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Lesson 6-5

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  1. Lesson 6-5 Congruent Polygons

  2. Definitions • Congruent Polygons- Polygons that have the same size and shape.

  3. If two polygons are congruent, their corresponding sides are congruent and their corresponding angles are congruent. F B G A C H Congruent Angles - Congruent Sides -

  4. Determine whether the triangles shown are congruent. If so, name the corresponding parts and write a congruent statement. 4cm y m Angles The arcs indicate that x ≅ m, y ≅ n and z ≅ l. Sides The side measures indicate that l 9cm 6cm 6cm 9cm z x n 4cm Since all pairs of corresponding angles and sides are congruent, the two triangles are congruent. The congruence statement is

  5. In the figure, Q F 13 in. A 40° 9 in. 65° Find the measure of angle Q. H N R According to the congruence statement, A and Q are corresponding angles. So A ≅ Q. Since A = 40°, Q = 40°. Find NR. FH corresponds to NR. So FH ≅ NR. Since FH = 9 inches, NR = 9 inches.

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