Question

The lines AB and CD intersect at point 0. The lines C A and BD are parallel.Without measuring, make sure that ACO ~BD0.

Answer 1

Given:

The lines AB and CD intersect at point 0.

The lines C A and BD are parallel.

Required:

To prove that ACO ~BD0.

Explanation:

It is given that AB and CD intersect at point O.

Therefore,

$\angle AOC=\angle BOC$

And CA and BD are parallel.

So, alternate opposite angles are equal.

Therefore,

$\begin{gathered} \angle OCA=\angle OBD \\ \angle OAC=\angle ODB \end{gathered}$

The all three angles are same, and CA is parallel to BD.

Therefore, ACO ~BD0.

Final Answer:

ACO ~BD0.