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