Question

In the figure, $DE\parallel BC$
(i) Prove that $△ADE$ and $△ABC$ are similar

Answer 1

In $\Delta ADE$ and $\Delta ABC$ we have

$1)\angle ADE=\angle ABC[DE||BCandAB$ is transverse]

$2)\angle A=\angle A$

$\therefore \Delta ADE$ and $ABC$ are similar