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Overlapping Triangles

Overlapping Triangles. Lesson 3.5. What are overlapping triangles?. A. There are two triangles that overlap inside the larger triangle. Outline the overlapping triangles with different colored pencils or markers. D. E. C. B. Where are the overlapping triangles?.

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Overlapping Triangles

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  1. Overlapping Triangles Lesson 3.5

  2. What are overlapping triangles? A There are two triangles that overlap inside the larger triangle. Outline the overlapping triangles with different colored pencils or markers. D E C B

  3. Where are the overlapping triangles? Outline the overlapping triangles with different colored pencils or markers.

  4. Overlapping triangles can be matched by CPCTC. Given: AB  DC AC  DB Prove △ABC  △DCB D A E B C

  5. Statement Reason • AB  DC • AC  DB • BC  BC • ABC  DCB • Given • Given • Reflexive Property • SSS

  6. Given: <1 = <3 <1 comp <2 <3 comp <4 Conclusion: AB = CD D A E 3 1 2 4 B C

  7. Statement Reason • Given • Given • Given • Comps of s are . • Addition Prop. • Reflexive Prop. • ASA • CPCTC • 1. 1 is comp to 2. • 2. 3 is comp to 4. • 1  3 • 2  4 • ABC  DCB • BC  BC • ABC  DCB • AB  CD

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