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The two diagonals are equal in a...

The two diagonals are equal in a

A

parallelogram

B

rhombus

C

rectangle

D

trapezium

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The correct Answer is:
C
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Name each of the following parallelograms. The diagonals are equal and the adjacent sides are equal .

Which of the following statements are true for a rhombus? It has two pairs of parallel sides. It has two pairs of equal sides. It has only two pairs of equal sides. Two of its angles are at right angles. It diagonals bisect each other at right angles. Its diagonals are equal and perpendicular. It has all its sides of equal lengths. It is a parallelogram. It is a quadrilateral. It can be a square. It is a square.

Using dot product of vectors; prove that a parallelogram; whose diagonal are equal; is a rectangle.

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.

In a parallelogram, if the diagonals are equal, then the parallelogram necessarily will be

MTG IIT JEE FOUNDATION-QUADRILATERALS -EXERCISE (Multiple Choice Questions) (LEVEL-1 )
  1. In a parallelogram ABCD, if angleA = 80^(@) then ZB is equal to

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  2. Two adjacent angles of a parallelogram are in the ratio 2 : 3. The ang...

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  3. PQRS is a square. PR and SQ intersect at O. State the measure of /POQ.

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  4. In a quadrilateral ABCD, angleA + angleC = 180^(@), then angleB + angl...

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  5. In a parallelogram ABCD diagonals AC and BD intersect at O and AC =12....

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  6. One of the diagonals of a rhombus is equal to a side of the rhombus. T...

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  7. Two adjacent angles of a parallelogram are (2x + 25)^(@) and (3x - 5)^...

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  8. The quadrilateral formed by joining the mid-points of the side for qu...

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  9. In a square ABCD, AB = (2x + 3) cm and BC = (3x - 5) cm . Then, the va...

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  10. The two diagonals are equal in a

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  11. In figure, ABCD is a rectangle in which diagonal D AC is produced to E...

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  12. The angle between the two altitudes of a parallelogram through the ver...

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  13. The diagonals of a rectangle A B C D meet at Odot If /B O C=44^0, find...

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  14. Two parallel line l and m are intersected by a transversal p. The quad...

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  15. In figure, PQRS is an isosceles trapezium. Find x

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  16. In figure, PQRS is a rhombus in which the diagonal PR is produced to T...

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  17. In a quadrilateral STAR, if angleS= 120^@, and angleT: angleA : angle ...

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  18. In a parallelogram ABCD if angleA=(3x-20)^(@), angleB=(y+15)^(@) and a...

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  19. In figure, ABCD is a Do trapezium. Find the values of x and y.

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  20. In a quadrilateral ABCD angleA+angleC is 2 times angleB+angleD. If ang...

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