Question

If ADE ABC in this diagram, which pair of ratios must necessarily be equal?

Answer 1

Answer:

$\frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}$

Step-by-step explanation:

we know that

Triangle ADE and Triangle ABC are similar

therefore

the ratio of their corresponding sides are equal

so

$\frac{AD}{AB}=\frac{AE}{AC}=\frac{DE}{BC}$

Answer 2

From the diagram, the the pair of ratios that should be equal is the ratio between the sides of each triangle. For instance,

AE/EC = AD/DB

This ratio of the lengths should be equal so that the figure can be true. Hope this answers  the question.