Home
Class 9
MATHS
Two points X and Y lie on the diagonal B...

Two points X and Y lie on the diagonal BD of a parallelogram ABCD such that DX = BT. Prove that `squareAXCY` is a parallelogram.

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NAGEEN PRAKASHAN|Exercise Exercise 8b|15 Videos

  • QUADRILATERALS

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer Questions)|10 Videos

  • QUADRILATERALS

    NAGEEN PRAKASHAN|Exercise Problems From NCERT/exemplar|11 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise Revision Exercise (very Short Answer /short Answer Questions)|10 Videos

  • STATISTICS

    NAGEEN PRAKASHAN|Exercise Revision Exercise|10 Videos

Similar Questions

Explore conceptually related problems

E and F are points on diagonal AC of a parallelogram ABCD such that AE=CF. Show that BFDE is a parallelogram.

Point E and F lie on diagonals AC of a parallelogram ABCD such that AE=CF What type of quadrilateral is BFDE?

In Figure, A B C D is a parallelogram and X\ a n d\ Y are points on the diagonal B D such that D X=B Y . Prove that A X C Y is a parallelogram (ii) A X=C Y ,\ A Y=C X A Y B\ ~= C X D (iv) A X D~=\ C Y B

Two segments AC and BD bisect each other at O. Prove that ABCD is a parallelogram.

P is any point on the diagonal BD of the parallelogram ABCD. Prove that ar (triangleAPD) = ar (triangleCPD) .

X and Y are the mid-points of the opposite sides AB and DC of a parallelogram ABCD. Then squareAXCY is a ?

ABCD and APCR are the two parallelograms and AC is the common diagonal. Prove that PBRD is a parallelogram.

O' is any point on diagonal AC of a parallelogram ABCD. Prove that : area of Delta AOD = " area of " Delta AOB

If AM and CN are perpendiculars on the diagonal BD of a parallelogram ABCD, Is DeltaAMD ≅ DeltaCNB ? Give reason.

If the two diagonals of a parallelogram are equal; it is a rectangle.

NAGEEN PRAKASHAN-QUADRILATERALS-Exercise 8a
  1. In the given figure, ABCD is a rohombus with A=67^(@). If DEC is an eq...

    Text Solution

    |

  2. If the adjacent angles of a parallelogram are in the ratio 1/3:1/2. Fi...

    Text Solution

    |

  3. Prove that the sum of two consecutive angles of a parallelogram is 180...

    Text Solution

    |

  4. One angle of a parallelogram is 60^(@). Find its remaining angles.

    Text Solution

    |

  5. One diagonal of a parallelogram biscets its one of the angles. Show th...

    Text Solution

    |

  6. The opposite angles of a parallelogram are (3x-2)^(@)and(150-x)^(@). F...

    Text Solution

    |

  7. In the adjoining figure, ABCD is a parallelogram. If angleABC=125^(@),...

    Text Solution

    |

  8. In a parallelogram, one angleis twice of its consecutiv angle. Find al...

    Text Solution

    |

  9. In a parallelogram ABCD, AX and CY are the bisectors of angleAandangle...

    Text Solution

    |

  10. In a parallelogram PQRS, PX and QY are the perpendiculars drawn from P...

    Text Solution

    |

  11. In a parallelogram ABCD, the bisector of angleA bisects the line Bcat ...

    Text Solution

    |

  12. In a parallelogram ABCD, angleBCD=60^(@) If the bisectors AP and BP of...

    Text Solution

    |

  13. In the adjoining figure, DeltaPQR is formed by the sides PQ, QR and RP...

    Text Solution

    |

  14. X and Y are the mid-points of the opposite sides AB and DC of a parall...

    Text Solution

    |

  15. Two points X and Y lie on the diagonal BD of a parallelogram ABCD such...

    Text Solution

    |

  16. In the adjoining figure, DeltaABC is an isosceles triangle in which AB...

    Text Solution

    |

  17. AB and CD are two parallel lines and a transversal 'l' intersects thes...

    Text Solution

    |

  18. In the adjoining figure squareABCD is a parallelogeam. Points X and Y ...

    Text Solution

    |

  19. In the adjoining figure, ABCDEF is a regular hexagon. Prove that squar...

    Text Solution

    |

  20. Two triangles DeltaABC and Delta DEF are given such that AB"||"DE,BC"|...

    Text Solution

    |