Question

Draw parallel to . You can draw any length and place it anywhere on the coordinate plane, but not on top of .Find and record the ratio, n, of the length of to the length of . Then, multiply the length of by n and record the resulting length.

Answer 1

In a diagram,

Then,

$\frac{DE}{BC}=n$

For example, suppose that n=2; thus,

$DE=2BC$$\Rightarrow2\cdot CA$

We can form a new triangle DEF whose side EF is parallel to CA; therefore,

$\Rightarrow EF=2CA$