Question

Triangle AEF and BEC are similar right triangles. Which proportion can be used to show that the slope of FE is equal to the slope of MP?

a) (AE/BE) = (EF/EC)
b) (EF/BE) = (AE/EC)
c) (EF/BE) = (MP/EC)
d) (AE/BE) = (MP/EC)

Answer 1

The proportion to show that the slope of FE is equal to the slope of MP in similar right triangles AEF and BEC is (EF/BE) = (AE/EC).

Step-by-step explanation:

The proportion that can be used to show that the slope of FE is equal to the slope of MP in similar right triangles AEF and BEC is option b) (EF/BE) = (AE/EC).

We know that similar triangles have corresponding sides that are proportional. In this case, EF corresponds to AE and BE corresponds to EC. Therefore, the ratio EF/BE should be equal to the ratio AE/EC.

So, the correct proportion to show that the slopes are equal is (EF/BE) = (AE/EC).