2019 · Q85
Consider the following statements:
- 1An isosceles trapezium is always cyclic.
- 2Any cyclic parallelogram is a rectangle.
Which of the above statements is/are correct?
Elementary MathematicsQuadrilaterals and Polygons
- A1 only
- B2 only
- CBoth 1 and 2
- DNeither 1 nor 2
Explanation
An isosceles trapezium has equal base angles, so consecutive angles are supplementary — it is always cyclic. A cyclic parallelogram has opposite angles both equal (parallelogram) and supplementary (cyclic), hence all 90°: a rectangle. Both statements are correct.