Proving triangle similarity using sas and sss similarity

~adapted from Walch EducationProving triangle similarity using sas and sss similarity

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

If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar.

Side-Side-Side (SSS) Similarity Statement

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

ProofsDetermine 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.

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