Home
Class 9
MATHS
If two sides of a cyclic quadrilateral a...

If two sides of a cyclic quadrilateral are parallel, prove that the remaining two sides are equal and the diagonals are also equal. OR A cyclic trapezium is isosceles and its diagonals are equal.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|206 Videos
  • CONGRUENT TRIANGLE

    RD SHARMA ENGLISH|Exercise All Questions|290 Videos

Similar Questions

Explore conceptually related problems

If two sides of a cyclic quadrilateral are parallel , prove that the other two sides are equal

If the sides of a cyclic- quadrilateral are parallel : prove that : (i) its other two sides are equal (ii) its diagonals are equal.

If two opposite sides of a cyclic quadrilateral are equal, then the other two sides are parallel.

Prove in a cylic - trapezium the non - parallel sides are equal and the diagonals are also equal .

If the sides of a cyclic quadrilateral are 3,3,4,4, show that a circle be inscribed in it.

If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are equal.

If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are equal.

If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are equal.

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

If one side of a cyclic quadrilateral is produced, then the exterior angle is equal to the interior opposite angle.

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Prove that the diameter is the greatest chord in a circle.

    Text Solution

    |

  2. Bisector A D of /B A C of /\ A B C passes through the centre O of the ...

    Text Solution

    |

  3. If two sides of a cyclic quadrilateral are parallel, prove that the ...

    Text Solution

    |

  4. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

    Text Solution

    |

  5. If two non-parallel sides of a trapezium are equal, it is cyclic. OR A...

    Text Solution

    |

  6. If two opposite sides of a cyclic quadrilateral are equal, then the ...

    Text Solution

    |

  7. The sum of either pair of opposite angles of a cyclic quadrilateral is...

    Text Solution

    |

  8. If the chord of a circle is equal to the radius of the circle, then th...

    Text Solution

    |

  9. If one side of a cyclic quadrilateral is produced, then the exterior ...

    Text Solution

    |

  10. If the sum of any pair of opposite angles of a quadrilateral is 180^@;...

    Text Solution

    |

  11. The sum of the angles in the four segments exterior to a cyclic qua...

    Text Solution

    |

  12. If the bisectors of the opposite angles /Aa n d/B of a cyclic quadrila...

    Text Solution

    |

  13. If O is the circumcentre of a A B C and O D|B C , prove that /B O ...

    Text Solution

    |

  14. Two diameters of a circle intersect each other at right angles. Prove ...

    Text Solution

    |

  15. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

    Text Solution

    |

  16. In a circle with centre O , chords A Ba n dC D intersect inside the ci...

    Text Solution

    |

  17. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

    Text Solution

    |

  18. Bisectors of angles A, B and C of a triangle ABC intersect its circ...

    Text Solution

    |

  19. Prove that the circle drawn with any side of a rhombus as a diameter, ...

    Text Solution

    |

  20. A Ca n dB D are chords of a circle that bisect each other. Prove that:...

    Text Solution

    |