Use the diagram and given information to answer the question.
Given: △ABC∼△CDE
BC¯¯¯¯¯¯¯...
Mathematics, 14.07.2020 21:01 EthanIsHyper
Use the diagram and given information to answer the question.
Given: △ABC∼△CDE
BC¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are horizontal segments.
AB¯¯¯¯¯¯¯¯ and ED¯¯¯¯¯¯¯¯ are vertical segments.
Lines l and m are perpendicular.
Prove: Lines l and m have slopes that are opposite reciprocals.
What description shows that lines l and m have slopes that are opposite reciprocals?
A) The triangles are similar, so AB/BC=CD/DE. The slope of l=−BC/AB and the slope of m=CD/DE. Since AB/BC and −BC/AB are opposite reciprocals, lines l and m have slopes that are opposite reciprocals.
B) The triangles are similar, so AB/BC=CD/DE. The slope of L=AB/BC and the slope of m=−DE/CD. Since CD/DE and −DE/CD are opposite reciprocals, lines L and m have slopes that are opposite reciprocals.
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