Similarity Postulates and Theorems

∆ABC ~ ∆PQR based on the figure below. Which of the following will support the similarity statement?

• AA Similarity Postulate

• SSS Similarity Theorem

• SAS Similarity Theorem

• AAA Similarity Theorem

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CCSS.HSG.SRT.B.5

The two triangles below are similar. Which of the following gives the correct statement of proportionality?

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CCSS.HSG.SRT.A.2

Two triangles are similar if their corresponding angles are congruent, and their corresponding sides are in __________.

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CCSS.HSG.SRT.A.2

Is it similar or not?

• Similar

• Not Similar

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CCSS.HSG.SRT.A.2

Tell whether the given pair of triangles are similar or not. If so, what triangle similarity theorem or postulate applied?

• Similar; by SAS Similarity Postulate

• Similar; by AA Similarity Postulate

• Similar; by SSS Similarity Postulate

• Not Similar

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CCSS.HSG.SRT.B.5

This theorem states that “If an angle is congruent to an angle of another triangle and the lengths of the sides including these angles are proportional, then the triangles are similar”.

• SSS Similarity Theorem

• SAS Similarity Theorem

• AA Similarity Theorem

• ASA Similarity Theorem

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CCSS.HSG.SRT.B.5

This theorem states that “If the lengths of the corresponding sides of two triangles are proportional, then the two triangles are similar."

• AA Similarity Postulate

• SAS Similarity Theorem

• ASA Similarity Theorem

• SSS Similarity Theorem

Tags

CCSS.HSG.SRT.B.5

Determine whether the triangles are similar or not. If so, state how they are similar.

• Yes, by AA Similarity

• Yes, by SAS Similarity

• Yes, by SSS Similarity

• No, not similar

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CCSS.HSG.SRT.B.5

In a geometric system, which would best describe how postulates differ from theorems?

• Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

• Postulates are statements that require proof, while theorems cannot be proven.

• Both postulates and theorems do not require proof and are assumed to be true.

• There is no difference between postulates and theorems.