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Concept. Use ASA to Prove Triangles Congruent Write a two column proof. StatementsReasons 1. Given 1.L is the midpoint of WE. ____.

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Presentation on theme: "Concept. Use ASA to Prove Triangles Congruent Write a two column proof. StatementsReasons 1. Given 1.L is the midpoint of WE. ____."— Presentation transcript:

1 Concept

2 Use ASA to Prove Triangles Congruent Write a two column proof. StatementsReasons 1. Given 1.L is the midpoint of WE. ____

3 A.A B.B C.C D.D Example 1 A.SSSB. SAS C.ASAD. AAS Fill in the blank in the following paragraph proof.

4 Concept

5 Example 2 Use AAS to Prove Triangles Congruent Write a paragraph proof. StatementsReasons

6 A.A B.B C.C D.D Example 2 A.SSSB. SAS C.ASAD. AAS Complete the following flow proof.

7 Example 3 Apply Triangle Congruence MANUFACTURING Barbara designs a paper template for a certain envelope. She designs the top and bottom flaps to be isosceles triangles that have congruent bases and base angles. If EV = 8 cm and the height of the isosceles triangle is 3 cm, find PO. 8 4 3 5 5

8 A.A B.B C.C D.D Example 3 A.SSS B.SAS C.ASA D.AAS The curtain decorating the window forms 2 triangles at the top. B is the midpoint of AC. AE = 13 inches and CD = 13 inches. BE and BD each use the same amount of material, 17 inches. Which method would you use to prove ΔABE  ΔCBD?

9 Concept

10 End of the Lesson


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