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Mathematics, 08.09.2020 02:01 Mayrah7486

Given points A(0,0), B(4,0), C(0,2), D(0,0), E(12,0), and F(0,6), which of the following proves that △ABC~△DEF? A) By the Distance Formula, AB=16 and BC=20Also, DE=144 and EF=180.Therefore, ABDE=BCEF=19,and therefore, ΔABC~ΔDEF by SSS~. B) ΔABC and ΔDEF are not similar. C) By the Distance Formula, AB=4, BC=25–√, and CA=2.Also, DE=12, EF=65–√, and FD=6.Therefore, ABDE=BCEF=CAFD=13,and therefore, ΔABC~ΔDEF by SSS~. D) By the Distance Formula, AB=16, BC=20, and CA=4.Also, DE=144, EF=180, and FD=36.Therefore, ABDE=BCEF=CAFD=19,and therefore, ΔABC~ΔDEF by SSS~.

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