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# Show that the ASCO is rectangular

Show that the ASCO is rectangular.

Note by Aly Ahmed
1 year, 3 months ago

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What is "mesoparallili"? · 1 year, 3 months ago

Since $$\angle OPS = 90^\circ$$ and $$\angle OAS = 90^\circ$$, hence $$ASPO$$ is a cyclic quad.

Since $$\angle PAB = 90^\circ - \angle PBA = \angle PQO = 180^\circ - \angle OQP$$, hence $$APQO$$ is a cyclic quad.

Hence, $$ASPQO$$ is a cyclic quad. Thus, since $$\angle SAO = 90^\circ$$, hence $$\angle SQO = 90 ^ \circ$$. And since $$\angle AOQ = 90^\circ$$ hence $$\angle ASQ = 90^ \circ$$. So we have $$ASQO$$ is a rectangle. Staff · 1 year, 3 months ago