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ABCD is a quadrilateral such that ∠ABC +∠ADC =180∘. Inside the quadrilateral : Statement 1: the circumcircle of △ABC intersects diagonal BD at D. Statement 2: the circumcircle of △ABC intersects BD at D′inside the quadrilateral. Statement 3: the circumcircle of △ABC intersects BD at D′ outside the quadrilateral. Statement 4: the circumcircle of △ABC does not intersect BD at all. Statement 5: ABCD is called cyclic quadrilateral. |
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Answer» ABCD is a quadrilateral such that ∠ABC +∠ADC =180∘. Inside the quadrilateral : Statement 1: the circumcircle of △ABC intersects diagonal BD at D. Statement 2: the circumcircle of △ABC intersects BD at D′inside the quadrilateral. Statement 3: the circumcircle of △ABC intersects BD at D′ outside the quadrilateral. Statement 4: the circumcircle of △ABC does not intersect BD at all. Statement 5: ABCD is called cyclic quadrilateral. |
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