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~adapted from Walch Education PROVING TRIANGLE SIMILARITY USING SAS AND SSS SIMILARITY.

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Presentation on theme: "~adapted from Walch Education PROVING TRIANGLE SIMILARITY USING SAS AND SSS SIMILARITY."— Presentation transcript:

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2 ~adapted from Walch Education PROVING TRIANGLE SIMILARITY USING SAS AND SSS SIMILARITY

3  If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar. SIDE-ANGLE-SIDE (SAS) SIMILARITY STATEMENT

4  If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar. SIDE-SIDE-SIDE (SSS) SIMILARITY STATEMENT

5 A proof is a set of justified statements organized to form a convincing argument that a given statement is true. Definitions, algebraic properties, and previously proven statements can be used to prove a given statement.  There are several types of proofs, such as paragraph proofs, two-column proofs, and flow diagrams.  Every good proof includes step-by-step statements that support your reasoning PROOFS

6 Determine whether the triangles are similar. Explain your reasoning. PRACTICE # 1 According to the diagram Compare the side lengths: If the triangles are similar, then the corresponding sides are proportional. The side lengths are proportional. by the Side-Angle-Side (SAS) Similarity Statement.

7 ~ Ms. Dambreville THANKS FOR WATCHING!


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