Home
Class 9
MATHS
If A B C D is a quadrilateral in which A...

If `A B C D` is a quadrilateral in which `A B C D` and `A D=B C ,` prove that `/_A` =`/_B` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|67 Videos

  • RATIONALISATION

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

If A B C D is a cyclic quadrilateral in which A D || B C . Prove that /_B=/_C

In figure, ABC is a triangle in which /_A B C=90^@ and A D_|_B C . Prove that A C^2=A B^2+B C^2-2B C.B D .

A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its diagonals. If /_D B C=55^0\ a n d\ /_B A C=45^0, find /_B C D

ABCD is a quadrilateral in which and /_D A B\ =/_C B A (see Fig. 7.17). Prove that (i) DeltaA B D~=DeltaB A C (ii) B D\ =\ A C (iii) /_A B D\ =/_B A C

In a quadrilateral A B C D , /_B=90^o , A D^2=A B^2+B C^2+C D^2 , prove that /_A C D=90^o

A B C D is a cyclic quadrilateral in which /_B A D=75^0,\ /_A B D=58^0a n d\ /_A D C=77^0,\ A C\ a n d\ B D intersect at Pdot then, find /_D P C

In Figure, A B C D is a quadrilateral in which diagonal \ A C=84\ c m ; D L_|_A C ,\ B M_|_A C ,\ D L=16. 5\ c m and B M=12\ c m . Find the area of quadrilateral A B C Ddot

If O is the circumcentre of /_\ A B C and O D_|_B C , prove that /_B O D=/_A

A B C is a triangle in which A B=A C and D is any point in B C . Prove that A B^2-A D^2=B D C D .

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. P Q R S is a parallelogram. P X and QY are respectively, the perpendic...

    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 A B C D is a quadrilateral in which A B C D and A D=B C , prove th...

    Text Solution

    |

  4. Find the measure of all the angles of a parallelogram, if one angle is...

    Text Solution

    |

  5. The perimeter of a parallelogram is 22c m. If the longer side measures...

    Text Solution

    |

  6. In Figure, A B C D is a parallelogram in which P is the mid-point of D...

    Text Solution

    |

  7. A B C is a triangle. D is a point on A B such that A D=1/4A B and E is...

    Text Solution

    |

  8. Show that the line segments joining the mid-points of the opposite ...

    Text Solution

    |

  9. B M and C N are perpendiculars to a line passing through the vertex A ...

    Text Solution

    |

  10. In Figure, A N and C P are perpendicular to the diagonal B D of a para...

    Text Solution

    |

  11. Given A B C , lines are drawn through A ,\ B\ a n d\ C parallel res...

    Text Solution

    |

  12. In a parallelogram A B C D ,/D=115^0, determine the measure of /A and ...

    Text Solution

    |

  13. In a parallelogram A B C D , prove that sum of any two consecutive ang...

    Text Solution

    |

  14. A B C D is a parallelogram andline segments A X ,C Y bisect the angles...

    Text Solution

    |

  15. In a parallelogram A B C D diagonals A C and B D intersect at O and A ...

    Text Solution

    |

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

    Text Solution

    |

  17. The diagonals of a parallelogram bisect each other.

    Text Solution

    |

  18. The angle bisectors of a parallelogram form a rectangle.

    Text Solution

    |

  19. If diagonal of a parallelogram bisects one of the angles of the para...

    Text Solution

    |

  20. Show that the quadrilateral, formed by joining the mid-points of the ...

    Text Solution

    |