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Proving triangle similarity using sas and sss similarity

Proving triangle similarity using sas and sss similarity. ~adapted from Walch Education. Side-Angle-Side (SAS) Similarity Statement.

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Proving triangle similarity using sas and sss similarity

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  1. Proving triangle similarity using sas and sss similarity ~adapted from Walch Education

  2. Side-Angle-Side (SAS) Similarity Statement • 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.

  3. Side-Side-Side (SSS) Similarity Statement • If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar.

  4. Proofs • 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

  5. Practice # 1 Determine whether the triangles are similar. Explain your reasoning. • 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.

  6. Thanks for watching! ~Ms. Dambreville

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