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Splash Screen

Splash Screen. You will be able to… Name corresponding parts of congruent polygons. Prove triangles congruent using the definition of congruence. Then/Now. Congruent- Corresponding parts-. Then/Now. Concept 1. Identify Corresponding Congruent Parts.

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Splash Screen

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  1. Splash Screen

  2. You will be able to… • Name corresponding parts of congruent polygons. • Prove triangles congruent using the definition of congruence. Then/Now

  3. Congruent- Corresponding parts- Then/Now

  4. Concept 1

  5. Identify Corresponding Congruent Parts Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement. Example 1

  6. 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? Example 1

  7. Use Corresponding Parts of Congruent Triangles In the diagram, ΔITP ΔNGO. Find the values of x and y. Example 2

  8. 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 Example 2

  9. Concept 2

  10. 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. Example 3

  11. TILES A drawing of a tile contains a series of triangles, rectangles, squares, and a circle. If ΔKLM  ΔNJL, KLM  KML,and mKML = 47.5, find mLNJ. A. 85 B. 45 C. 47.5 D. 95 Example 3

  12. Concept 3

  13. End of the Lesson

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