Question

For each of the following, draw a circle and inscribe the figure given. If a polygon of the given type can't be inscribed, write not possible.
(a) Rectangle
(b) Trapezium
(c) Obtuse triangle
(d) Non-rectangular parallelogram
(e) Acute isosceles triangle
(f) A quadrilateral PQRS with $PR$ as diameter.

Answer 1

(a) Rectangle - possible

A rectangle inscribe the circle.

(b) Trapezium - possible

A trapezium can be inside the circle such that all vertices of trapezium are on the circle

(c) Obtuse triangle - possible

One angle of the triangle becomes obtuse. we can draw such figure

(d) Non-rectangular parallelogram - not possible

(e) Acute isosceles triangle - possible

(f) A quadrilateral PQRS with PR as diameter - possible

It is a cyclic quadrilateral.