Question

How do I do this question

Answer 1

Answer:

Step-by-step explanation:

Join OB.

∠A=∠A  (common)

$\frac{AP}{AO} =\frac{\frac{1}{2} AO}{AO} =\frac{1}{2} \\\frac{AQ}{AB} =\frac{\frac{1}{2} AB}{AB} =\frac{1}{2} \\\frac{AP}{AO} =\frac{AQ}{AB}$

∴ ΔAPO and ΔAOB are similar.

$\frac{PQ}{OB} =\frac{1}{2}$

∠P=∠O

∠Q=∠B

So PQ║OB

Similarly RS║OB

∴PQ║RS