A cyclic trapezium is isosceles and its ...

A cyclic trapezium is isosceles and its diagonals are equal.

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ABCD is a trapezium in which AB||DC and its diagonals intersect each other at the point O. Show that (A O)/(B O)=(C O)/(D O) .

If the sides of a cyclic- quadrilateral are parallel : prove that : (i) its other two sides are equal (ii) its diagonals are equal.

Prove in a cylic - trapezium the non - parallel sides are equal and the diagonals are also equal .

If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are equal.

If two sides of a cyclic quadrilateral are parallel, prove that the remaining two sides are equal and the diagonals are also equal.

Which of the following statements are true for a rectangle? It has two pairs of equal sides. It has all its sides of equal length. Its diagonals are equal. Its diagonals bisect each other. Its diagonals are perpendicular. Its diagonals are perpendicular and bisect each other. Its diagonals are equal and bisect each other. Its diagonals are equal and perpendicular, and bisect each other. All rectangles are squares. All rhombuses are parallelograms. All squares are rhombuses and also rectangles. All squares are not parallelograms.

An angle of a cyclic trapezium is twice the other angle. Find the value of the smaller angle.

Theorem 7.2 : Angles opposite to equal sides of an isosceles triangle are equal.

NAGEEN PRAKASHAN ENGLISH-CIRCLE -Exercise 10c

In the adjoining figure, PS|\ |QR and angle Q=115^@, then find the va...
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In the adjoining figure, ABCD is a cyclic quadrilateral and AB is the ...
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In the adjoining figure, ABCD is a cyclic quadrilateral.If side BC is ...
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In the adjoining figure, O is the centre of the circle.If angleBAC=40^...
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ABCD is a cyclic trapezium in which, AD|\ |BC and angleB=70^@. Find it...
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In the adjoining figure, angle ABC=95^@ and angle DAC=35^@, then find ...
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(i) In the adjoining figure, find the value of angle CBE. (ii) In ...
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In the adjoining figure, O is the centre of the circle. Find the value...
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In the adjoining figure, AB is the diameter of the circle and two poin...
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In the adjoining figure,AB is the diameter of the circle of centre O &...
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In the adjoining figure, AD is the diameter of the circle and angleBCD...
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In the adjoining figure,O is the centre of the circle. If angleABC=110...
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In the adjoining figure, O is the centre of a circle in which AB and C...
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In the adjoining figure, Delta ABC is an isosceles triangle. Find the ...
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The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...
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If the exterior angle of a quadrilateral formed by producing one of it...
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An angle of a cyclic trapezium is twice the other angle. Find the valu...
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If diagonals of a cyclic quadrilateral are diameters of the circle ...
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A cyclic trapezium is isosceles and its diagonals are equal.
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If two opposite sides of a cyclic quadrilateral are equal, then the ...
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