Question
If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle.
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Text solutionVerified
Let be a cyclic quadrilateral and its diagonal and are the
diameters of the circle through the vertices of the quadrilateral.
...Angles in the semi-circle
Thus, is a rectangle as each internal angle is
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Question Text | If diagonals of a cyclic quadrilateral are diameters of the circle through the vertices of the quadrilateral, prove that it is a rectangle. |
Answer Type | Text solution:1 |
Upvotes | 150 |