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A quadrilateral is parallelogram if its opposite angles are equal.

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A quadrilateral is a parallelogram if its opposite sides are equal.

A quadrilateral is a parallelogram, if its one pair of opposite sides are equal and parallel.

State the converse and contrapositive of the following statement: If a quadrilateral is a parallelogram then its diagonals bisect each other.

Prove that In a parallelogram, opposite side are equal

Is the following statement true? Why? "Two quadrilaterals are similar, if their corresponding angles are equal".

One angle of a quadrilateral is 180^0 and the remaining three angles are equal. Find the three equal angles.

One angle of a quadrilateral is 180^@ and the remaining three angles are equal. Find the measure of other three equal angles.

Which of the following is not true for a parallelogram ? a) Opposite sides are equal b) Opposite angles are equal c) Opposite angles are bisected by the diagonals d) Diagonals bisect each other

The given figure shows a rectangle ABDC and a parallelogram ABEF, drawn on opposite sides of AB. Prove that : (i) quadrilateral CDEF is a parallelogram, (ii) Area of quad. CDEF = Area of rec. ABDC + "Area of" ////gm.ABEF .

Which of the following statements are true (T) and which are false (F)? (i) In a parallelogram, the diagonals are equal. (ii) In a parallelogram, the diagonals bisect each other. (iii) In a parallelogram, the diagonals intersect each other at right angles. (iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram. (v) If all the angles of a quadrilateral are equal, it is a parallelogram. (vi) If three sides of a quadrilateral are equal , it is a parallelogram. (vii) If three angles of a quadrilateral are equal, it is a parallelogram. (viii) If all the sides of a quadrilateral are equal it is a parallelogram

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. The diagonals of a rectangle are of equal length.

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  2. If the diagonals of a quadrilateral bisect each other, then the qua...

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  3. A quadrilateral is parallelogram if its opposite angles are equal.

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  4. A quadrilateral is a parallelogram if its opposite sides are equal.

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  5. In Figure, A B C D is a parallelogram in which /A=60^0 . If the bisect...

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  6. Show that if the diagonals of a quadrilateral are equal and bisect eac...

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  7. Show that the diagonals of a square are equal and bisect each other at...

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  8. Show that if the diagonals of a quadrilateral bisect each other at ...

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  9. A quadrilateral is a parallelogram, if its one pair of opposite sides ...

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  10. In Figure, A B C D is a parallelogram and X ,Y are the mid=points of s...

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  11. In a triangle A B C median A D is produced to X such that A D=D Xdot P...

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  12. In Figure, P Q R S is a parallelogram, P O and Q O are, respectively, ...

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  13. The diagonals of a parallelogram A B C D intersect at OdotA line throu...

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  14. A B C D is a parallelogram and /D A B=60^0dot If the bisectors A P and...

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  15. In a parallelogram A B C D , the bisector of /A also bisects B C at Xd...

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  16. A B C D is a parallelogram. L and M are points on A B and D C respecti...

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  17. P Q R S is a parallelogram. P X and QY are respectively, the perpendic...

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  18. A B C D is a parallelogram. A B is produced to E so that B E=A B . Pro...

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  19. If A B C D is a quadrilateral in which A B C D and A D=B C , prove th...

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  20. Find the measure of all the angles of a parallelogram, if one angle is...

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