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Chapter 4.3

Chapter 4.3. Congruent Triangles. Concept 1. Angles:. Sides:. Identify Corresponding Congruent Parts. Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement.

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Chapter 4.3

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  1. Chapter 4.3 Congruent Triangles

  2. Concept 1

  3. Angles: Sides: Identify Corresponding Congruent Parts Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement. Answer: All corresponding parts of the two polygons are congruent. Therefore, ABCDE RTPSQ.

  4. CPCTC • Congruent parts of congruent triangles are congruent

  5. A. B. C. D. The support beams on the fence form congruent triangles. In the figure ΔABC ΔDEF,which of the following congruence statements correctly identifies corresponding angles or sides?

  6. Use Corresponding Parts of Congruent Triangles In the diagram, ΔITP ΔNGO. Find the values of x and y. O  P CPCTC

  7. In the diagram, ΔFHJ ΔHFG. Find the values of x and y. A.x = 4.5, y = 2.75 B.x = 2.75, y = 4.5 C.x = 1.8, y = 19 D.x = 4.5, y = 5.5

  8. Concept 2

  9. Use the Third Angles Theorem ARCHITECTURE A drawing of a tower’s roof is composed of congruent triangles all converging at a point at the top. If IJK  IKJ and mIJK = 72, find mJIH.

  10. Prove That Two Triangles are Congruent Write a two-column proof. Prove:ΔLMNΔPON

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