Question

Hi! Does anyone know the answer to this question? I’m bad at geometry and I’m struggling to get the answer. Please help!

Answer 1

Because of AA postulate

Explanation:

`In\: \triangle ABC\: \&\:\triangle DEC`

`\angle CAB \cong \angle CDE` (Right angles)

`\angle ACB \cong \angle DCE` (Vertical angles)

`\therefore \triangle ABC \sim \triangle DEC` (AA postulate)

Answer 2

Explanation:

It is because of Angle-Angle Similarity.

Angle EDC = Angle CAB [Perpendicular, 90°]

Angle ECD = Angle ACB [Vertically Opposite Angles]

So,

Triangle ADC ~ Triangle BAC

Hope it helps :)