Home
Class 9
MATHS
In the parallelogram ABCD, the angles A ...

In the parallelogram ABCD, the angles A and C are obtuse. Points X and Y are taken on the diagonal BD such that the angles XAD and YCB are right angles. Prove that : XA = YC

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    ICSE|Exercise QUESTIONS|8 Videos

  • TRIANGLES

    ICSE|Exercise 3 MARKS QUESTIONS |11 Videos

  • TRIANGLES

    ICSE|Exercise 4 MARKS QUESTIONS |24 Videos

  • STATISTICS AND GRAPH WORK

    ICSE|Exercise TOPIC - 2 (4 Marks Questions)|14 Videos

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(B)|50 Videos

Similar Questions

Explore conceptually related problems

Points M and N are taken on the diagonal AC of a parallelogram ABCD such that AM= CN. Prove that BMDN is a parallelogram.

In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2AD. Prove that: BP bisects angle B

In a parallelogram ABCD, X and Y are points on diagonal BD such that DX=BY. Prove that AXCY is a parallelogram.

In parallelogram ABCD, the bisector of angle A meets DC at P and AB= 2AD. Prove that: Angle APB= 90^(@)

In parallelogram ABCD, the bisectors of adjacent angles A and D intersect each other at point P. prove that angleAPD=90^(@) .

Construct a parallelogram ABCD with diagonals 6.3 cm and 5.6 cm . And, acute angle between the diagonals is 45^(@)

If the diagonal BD of a quadrillateral ABCD bisects both angleB and angleD . Prove that (AB)/(BC)= (AD)/(CD) .

In parallelogram ABCD, E is the mid-point of side AB and CE bisect angle BCD. Prove that : (i) AE=AD (ii) DE bisect angleADC and (iii) Angle DEC is a right angle.

P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP.

M and N are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CN is parallel to AM.

ICSE-TRIANGLES -EXERCISE 9(B)
  1. On the sides AB and AC of triangle ABC, equilateral triangles ABD and ...

    Text Solution

    |

  2. In the following diagrams, ABCD is a square and APB is an equilateral ...

    Text Solution

    |

  3. In the figure, given below, triangle ABC is right-angled at B. ABPQ an...

    Text Solution

    |

  4. In a Delta ABC, BD is the median to the side AC, BD is produced to E s...

    Text Solution

    |

  5. In the adjoining figure, QX and RX are the bisectors of the angles Q a...

    Text Solution

    |

  6. In the parallelogram ABCD, the angles A and C are obtuse. Points X and...

    Text Solution

    |

  7. ABCD is a parallelogram. The sides AB and AD are produced to E and F r...

    Text Solution

    |

  8. In the following figures, the sides AB and BC and the median AD of tri...

    Text Solution

    |

  9. In the following diagram, AP and BQ are equal and parallel to each oth...

    Text Solution

    |

  10. In the following figure, OA = OC and AB = BC. Prove that : (i) angle...

    Text Solution

    |

  11. The following figure shows a triangle ABC in which AB = AC. M is a poi...

    Text Solution

    |

  12. In a triangle ABC, AB = BC, AD is perpendicular to side BC and CE is p...

    Text Solution

    |

  13. PQRS is a parallelogram. L and M are points on PQ and SR respectively ...

    Text Solution

    |

  14. In the following figure, ABC is an equilateral triangle in which QP is...

    Text Solution

    |

  15. In the following figure, angle A = angle C and AB = BC. Prove tha...

    Text Solution

    |

  16. AD and BC are equal perpendiculars to a line segment AB. If AD and BC ...

    Text Solution

    |

  17. In Delta ABC, AB = AC and the bisectors of angles B and C intersect at...

    Text Solution

    |

  18. In the following figure, AB = EF, BC = DE and angle B = angle E = 90^(...

    Text Solution

    |

  19. A point O is taken inside a rhombus ABCD such that its distances from ...

    Text Solution

    |

  20. In quadrilateral ABCD, AD = BC and BD = CA. Prove that : (i) angle A...

    Text Solution

    |