The quadrilateral formed by angle bisect...

The quadrilateral formed by angle bisectors of a cyclic quadrilateral is also cyclic.

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Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.

Two parallel lines l and m are intersected by a transversal p . Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

ABCD is a cyclic quadrilateral (see Figure). Find the angles of the cyclic quadrilateral.

Theorem 10.11 : The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.

Complete each of the following, so as to make a true statement: A quadrilateral has ............ sides A quadrilateral has ............ angles. A quadrilateral has ............ vertices, no three of which are.... A quadrilateral has ............ diagonals. The number of pairs of adjacent angles of a quadrilateral is ...... The number of pairs of opposite angles of a quadrilateral is ...... The sum of the angles of quadrilateral is..... A diagonals of quadrilateral is a line segment that joins two ..... vertices of the quadrilateral. The sum of the angles of a quadrilateral is ......... right angles. The measure of each angle of a convex quadrilateral is ...... 180^0dot In a quadrilateral the point of intersection of the diagonals lie lies in .... of the quadrilateral. A point is in the interior of a convex quadrilateral, if it is in the ....... of its two opposite angles. A quadrilateral is convex if for each side, the remaining.... lie on the same side of the line containing the side.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square, is also a square.

The sum of either pair of opposite angles of a cyclic quadrilateral is 180^0 OR The opposite angles of a cyclic quadrilateral are supplementary.

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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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