Home
Class 9
MATHS
In a parallelogram, prove that the bisec...

In a parallelogram, prove that the bisectors of any two consecutive angles intersect at right angle.

Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise Area theorems|11 Videos
  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise Circle|6 Videos
  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise pythagoras therorem|9 Videos
  • CHAPTER REVISION (STAGE 2)

    ICSE|Exercise DISTANCE FORMULA |12 Videos
  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise DISTANCE FORMULA |11 Videos

Similar Questions

Explore conceptually related problems

In a parallelogram; the bisectors of any two consecutive angles intersect at right angle.

In a parallelogram A B C D , prove that sum of any two consecutive angles is 180^0dot

Show that the bisectors of two adjacent supplementary angles include a right angle

Prove that the bisectors of a pair of vertically opposite angles are in the same straight line.

If two parallel lines intersected by a transversal; prove that the bisectors of the two pairs of interior angle encloses a rectangle.

A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.

Prove that the bisectors of the interior angles of a rectangle form a square.

Prove that the sum of two consecutive angles of a parallelogram is 180^(@).

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

In a parallelogram ABCD, the bisectors of angleA and angleB intersect each other at point P. Prove that angleAPB=90^(@).

ICSE-CHAPTERWISE REVISION (STAGE 1) -Rectillinear figures
  1. In a quadrilateral ABCD, AB = CD and angle B = angle C . Prove that ...

    Text Solution

    |

  2. In the diagram below, P and Q are midpoints of sides BC and AD respect...

    Text Solution

    |

  3. ABCD is a parallelogram. If AB = 2AD and P is the mid-point of CD, pro...

    Text Solution

    |

  4. Construct a parallelogram ABCD in which diagonal AC = 6-3 cm, diagonal...

    Text Solution

    |

  5. Construct a rhombus whose diagonals are 4.7 cm and 5-4 cm.

    Text Solution

    |

  6. In a parallelogram ABCD, P is a point on side AD such that 3AP = AD an...

    Text Solution

    |

  7. The following figure shows a parallelogram ABCD. Use the given inform...

    Text Solution

    |

  8. The angles of a quadrilateral are equal. Prove that the quadrialteral ...

    Text Solution

    |

  9. The given figures shows a kite- shaped figure whose diagonals interse...

    Text Solution

    |

  10. In a parallelogram, prove that the bisectors of any two consecutive an...

    Text Solution

    |

  11. Two opposite angles of a parallelogram are (6x - 17^(@) ) and (x + 63)...

    Text Solution

    |

  12. The diagonals of a rectangle intersect each other at right angles. Pro...

    Text Solution

    |

  13. M and N are the points of trisection of the diagonal BD of a parallelo...

    Text Solution

    |

  14. Find the angles of the parallelogram ABCD, If angle A , angle B = ...

    Text Solution

    |

  15. Find the angles of the parallelogram ABCD, if angle C = (2)/(3) ...

    Text Solution

    |

  16. Construct a quadrilateral ABCD with angle B = angle C = 75^(@) , BC...

    Text Solution

    |

  17. Construct a parallelogram ABCD with diagonals 6.3 cm and 5.6 cm ...

    Text Solution

    |

  18. Construct a squre ABCD with AC = 6.2 cm.

    Text Solution

    |

  19. Construct a rhombus ABCD such that each of its side is 4.8 cm a...

    Text Solution

    |

  20. Construct a trapezium ABCD in which AB is parallel to DC, AB = 6....

    Text Solution

    |