Question 40

Statement 1 - If a trapezium is a cyclic quadrilateral, its non parallel sides are equal<br>Statement 2 - If a quadrilateral is cyclic then it is a trapezium

Solution

In a cyclic trapezium the base angles are equal, so it is isosceles and its non parallel sides are equal; Statement 1 is true. A cyclic quadrilateral need not have any pair of parallel sides (for example a kite with two right angles), so Statement 2 is false. Hence options a and d are both correct.

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