Use the diagram and given information to answer the question. Given: △ABC∼△CDE BC¯¯¯¯¯¯¯¯

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.