Geometry Flashcards: Triangle Similarity Theorems And Pythagorean Theorem

Study Triangle Similarity Theorems And Pythagorean Theorem in Geometry with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

If ABCDEF\triangle ABC \sim \triangle DEF and ABDE=25\frac{AB}{DE}=\frac{2}{5}, what is kk from ABCABC to DEFDEF?

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ANSWER

k=52k=\frac{5}{2}. Scale factor is the reciprocal: k=125=52k = \frac{1}{\frac{2}{5}} = \frac{5}{2}.

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Geometry: Similarity Transformations

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This deck focuses on Triangle Similarity Theorems And Pythagorean Theorem, giving you a quick way to review the definitions, rules, and examples that matter most for Geometry.

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Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 17Practice questions for this set
In the diagram, ABC\triangle ABC is right at CC, and altitude CDCD is drawn to hypotenuse ABAB with CDABCD \perp AB. Let AD=xAD=x, DB=yDB=y, and AB=cAB=c. Which proportion leads to the Pythagorean relationship by combining results from the similar triangles?
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