Home
Class 9
MATHS
If the two sides of a pair of opposit...

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

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

Theorem 8.3 : If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.

Show that the opposite sides of a parallelogram are equal.

A quadrilateral is parallelogram if its opposite angles are equal.

Prove that the sum of opposite pair of angles of a cyclic quadrilateral is 180^@

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

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.

If two sides of a cyclic quadrilateral are parallel, prove that the remaining two sides are equal and the diagonals are also equal.

Prove that the lines joining the middle points of the opposite sides of a quadrilateral and the join of the middle points of its diagonals meet in a point and bisect one another

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Prove that the centre of the circle circumscribing the cyclic recta...

    Text Solution

    |

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

    Text Solution

    |

  3. If the two sides of a pair of opposite sides of a cyclic quadrilate...

    Text Solution

    |

  4. A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when pr...

    Text Solution

    |

  5. Prove that the angle in a segment greater than a semi-circle is les...

    Text Solution

    |

  6. A B C D is a cyclic trapezium with AD || BC dot If /B=70^0, determin...

    Text Solution

    |

  7. Prove that the line segment joining the mid-point of the hypotenuse...

    Text Solution

    |

  8. A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its d...

    Text Solution

    |

  9. In Figure, two circles intersect at A\ a n d\ B . The centre of ...

    Text Solution

    |

  10. In Figure, two congruent circles with centres O\ a n d\ O ' interse...

    Text Solution

    |

  11. A B C D is a cyclic quadrilateral in which /B A D=75^0,\ /A B D=58^0...

    Text Solution

    |

  12. In Figure, if /A O B=80^0a n d\ /A B C=30^0, then find /C A O

    Text Solution

    |

  13. If O is the circumcentre of A B C , then find the value of /O B C...

    Text Solution

    |

  14. If Figure, A O C is a diameter of the circle and arc A X B=1/2 arc B...

    Text Solution

    |

  15. In Figure, A is the centre of the circle. A B C D is a parallelogra...

    Text Solution

    |

  16. In Figure, A B is a diameter of the circle such that /A=35^0a n d\ ...

    Text Solution

    |

  17. In Figure, P\ a n d\ Q are centres of two circles intersecting at B\...

    Text Solution

    |

  18. In Figure, A B C D is quadrilateral inscribed in a circle with centr...

    Text Solution

    |

  19. If the length of a chord of a circle is 16 cm and is at a distance ...

    Text Solution

    |

  20. The radius of a circle is 6 cm. The perpendicular distance from the ...

    Text Solution

    |