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.(in figure) OR A cyclic trapezium is isosceles and its diagonals are equal.

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

  • CONGRUENT TRIANGLE

    RD SHARMA|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

A cyclic trapezium is isoceless and its diagonal 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.OR A cyclic trapezium is isosceles and its diagonals are equal.

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

The two diagonals are equal in a

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

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

If the opposite sides of a quadrilateral are equal, prove that the quadrilateral is a parallelogram.

RD SHARMA-CIRCLE -All Questions
  1. Prove that the angle in a segment greater than a semi-circle is les...

    Text Solution

    |

  2. A B C D is a parallelogram. A B is produced to E so that B E=A B . Pro...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Let the vertex of an angle ABC be located outside a circle and let the...

    Text Solution

    |

  6. In any triangle ABC, if the angle bisector of /Aand perpendicular bis...

    Text Solution

    |

  7. P is a point on the side B C of a triangle A B C such that A B=A Pdot ...

    Text Solution

    |

  8. A B C D is a cyclic quadrilateral whose diagonals A Ca n dB D intersec...

    Text Solution

    |

  9. (Converse of Theorem 3) The line joining the centre of a circle to the...

    Text Solution

    |

  10. .The equation of the circle passing through three non-collinear points...

    Text Solution

    |

  11. Two chords A B and A C of a circle are equal. Prove that the centre of...

    Text Solution

    |

  12. If two chords A B and A C of a circle with centre O are such that the ...

    Text Solution

    |

  13. If two arcs of a circle (or of congruent circles) are congruent, then ...

    Text Solution

    |

  14. If two chord of a circle (or of congruent circles) are equal, then the...

    Text Solution

    |

  15. The perpendicular from the centre of a circle to a chord bisects the ...

    Text Solution

    |

  16. If two circles intersect in two points, prove that the line through th...

    Text Solution

    |

  17. Find the length of the chord which is at 12 cm distance from center an...

    Text Solution

    |

  18. In an isosceles triangle A B C with A B=A C , a circle passing through...

    Text Solution

    |

  19. P Qa n dR S are two parallel chords of a circle and lines R Pa n dS Q ...

    Text Solution

    |

  20. A B C is an isosceles triangle in which A B=A Cdot If Da n dE are the ...

    Text Solution

    |