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If TAP is an isosceles triangle with TA = TP and \angle TSA = 90^{\circ}.

(i) Is \triangle TAS \equiv \triangle TPS? Why?
(ii) Is \angle P = \angle A? Why?
(iii) Is AS = PS? Why?
Important!
This is a self-assessment task. Solve this question and assess the solution steps after completing the test on your own.