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# Prove That: the Rhombus, Inscribed in a Circle, is a Square. - ICSE Class 10 - Mathematics

ConceptArc and Chord Properties - Angle in a Semi-circle is a Right Angle

#### Question

Prove that:
the rhombus, inscribed in a circle, is a square.

#### Solution

Let ABCD be a rhombus, inscribed in a circle
(Opposite angles of a parallelogram are equal)
(pair of opposite angles in a cyclic quadrilateral are supplementary)
∴ ∠BAD = ∠ BCD (180°)/2=90°
∥y, the other two angles are 90° and all the sides
are equal.
∴ ABCD is a square.

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#### Video TutorialsVIEW ALL [1]

Solution Prove That: the Rhombus, Inscribed in a Circle, is a Square. Concept: Arc and Chord Properties - Angle in a Semi-circle is a Right Angle.
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