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7 3 Similar Triangles Answer Key

Question: AA ~ (Angle-Angle Similarity)
Answer: If 2 ∠s of one 🔺 are congruent to 2 ∠s of another 🔺, then the 2 🔺s are ~ .
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Question: SSS ~ (Side-Side-Side Similarity)
Answer: If the lengths of the corresponding sides of two 🔺s are proportional, then the 🔺s are ~ .
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Question: SAS ~ (Side-Angle-Side Similarity)
Answer: If the lengths of the 2 corresponding sides of 2 🔺s are proportional & the included ∠s are congruent, then the 🔺s are ~ .
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Question: Definition of Similar Polygons
Answer: Corresponding ∠s are congruent & the lengths of corresponding sides are proportional.
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Question: Scale Factor
Answer: If 2 polygons are ~ (similar), then this is the ratio of the lengths of any side of the image divided by the corresponding side of the pre-image.
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Question: Triangle Similarity Theorem
Answer: If 2 triangles are similar, then the ratio of their perimeters is equal to the ratios of their corresponding sides. (BTW: This applies to any polygons as well.)
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Question: SSS, AA, SAS, (but not AAS nor HL)
Answer: Criteria used to affirm 🔺 Similarity (" ~ ")
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Question: SSS, SAS, ASA, AAS, HL, (but not AA nor SSA)
Answer: Criteria used to affirm 🔺 Congruence (" ≅ ")
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