Question

Triangles ABD and ACE are similar right triangles. which ratio best explains why the slope of AB is the same as the slope of AC

Answer 1

B. AC/EA = AB/DA because theyre equal slopes just different sizes

Answer 2

Answer:

The correct option is d.

Step-by-step explanation:

The slope of a line is

$Slope=\frac{Rise}{Run}$

Slope of line AB is

$m_{AB}=\frac{BD}{DA}$

Slope of line AC is

$m_{AC}=\frac{CE}{EA}$

Triangles ABD and ACE are similar right triangles, therefore the corresponding sides are proportional.

$\frac{AB}{AC}=\frac{BD}{CE}=\frac{AD}{AE}$

Using last two ratios, we get

$\frac{BD}{CE}=\frac{AD}{AE}$

The required ratio is

$\frac{BD}{DA}=\frac{CE}{EA}$

Therefore the correct option is d.