If the diagonals of a quadrilateral are ...

If the diagonals of a quadrilateral are equal and bisect each other, then the quadrilateral is a

rhombus

rectangle

square

parallelogram

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Given the following statements : A:If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. B: If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. Identify these as contrapositive or converse of each other.

Given statements . Identify the statements given below as contrapositive or converse of each other. If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagronals of a quadrilateral bisect each other, then it is a parallelogram.

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (a) If you live in Delhi, then you have winter clothes. (i) If you do not have winter clothes, then you do not live in Delhi. (ii) If you have winter clothes, then you live in Delhi. (b) If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angle, then it is a square.

Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles,then it is a square

If the diagonals of a quadrilateral bisect each other at right angle, then the quadrilateral is a parallelogram (b) rectangle (c) rhombus (d) kite

The diagonals of a rectangle are equal and bisect each other

NCERT EXEMPLAR-UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY-EXERCISE

How many diagonals does a hexagon have?
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If the adjacent sides of a parallelogram are equal then parallelogram ...
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If the diagonals of a quadrilateral are equal and bisect each other, t...
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find the sum of all exterior angles of a triangle.
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Which of the following is an equiangular and equilateral polygon?
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Which one has all the properties of a kite and a parallelogram?
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The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smal...
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In the trapezium ABCD, the measure ofangleD is
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A quadrilateral has three acute angles. If each measures 80°, then the...
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The number of sides of a regular polygon where each exterior angle has...
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In a parallelogram PQRS, if angleP = 60°, then other three angles are
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If two adjacent angles of a parallelogram are in the ratio 2 : 3, then...
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If PQRS is a parallelogram, then angleP – angleR is equal to
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The sum of adjacent angles of a parallelogram is
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The angle between the two altitudes of a parallelogram through the sam...
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In the given figure, ABCD and BDCE are parallelograms with common base...
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Length of one of the diagonals of a rectangle whose sides are 10 cm an...
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If the adjacent angles of a parallelogram are equal, then the parallel...
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Which of the following can be four interior angles of a quadrilateral?
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The sum of angles of a concave quadrilateral is
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