Home
Class 9
MATHS
In Figure, A D=B C\ a n d\ B D=C A. Prov...

In Figure, `A D=B C\ a n d\ B D=C A`. Prove that ∠A D B= ∠B C A a n d ∠D A B=∠ C B A`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|306 Videos

  • CONSTRUCTION

    RD SHARMA ENGLISH|Exercise All Questions|40 Videos

Similar Questions

Explore conceptually related problems

In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot

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

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

In Figure, A B||C F\ a n d\ B C||E D . Prove that /_A B C=\ /_F D E

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

In Figure, it is given that A E=A D\ a n d\ B D=C Edot Prove that A E B\ ~= A D C

In Figure, /_B C D=/_A D C and /_A C B=/_B D Adot Prove that A D=B C and /_A=/_B

In Figure, A E bisects /_C A D\ a n d\ /_B=/_Cdot Prove that A E||B C

In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C B D

In Figure, it is given that A B=C D\ a n d\ A D=B C. Prove that A D C\ ~= C B A .

RD SHARMA ENGLISH-CONGRUENT TRIANGLE -All Questions
  1. A point O is taken inside an equilateral four sided figure A B C D suc...

    Text Solution

    |

  2. In Figure, two sides A B\ a n d\ B C and the median A D\ of A B C ar...

    Text Solution

    |

  3. In Figure, A D=B C\ a n d\ B D=C A. Prove that ∠A D B= ∠B C A a n d ∠D...

    Text Solution

    |

  4. In Figure, A B=A C ,\ D is the point in the interior of A B C such ...

    Text Solution

    |

  5. In Figure, it is given that A B=C D\ a n d\ A D=B Cdot Prove that ...

    Text Solution

    |

  6. In A P Q R , if P Q=QR\ a n d\ L ,\ M\ a n d\ N are the mid-points of...

    Text Solution

    |

  7. A D ,\ B E\ a n d\ C F , the altitudes of A B C are equal. Prove that...

    Text Solution

    |

  8. In Figure, it is given that L M=M N ,\ Q M=M R ,\ M L\ |P Q\ a n d\...

    Text Solution

    |

  9. If A B C is an isosceles triangle such that A B=A C and A D is an alti...

    Text Solution

    |

  10. P is a point equidistant from two lines l and m intersecting at poi...

    Text Solution

    |

  11. A B C is a triangle and D is the mid-point of B C . The perpendiculars...

    Text Solution

    |

  12. A B C is a triangle is which B E and C F are, respectively, the perpen...

    Text Solution

    |

  13. In perpendiculars from any point within an angle on its arms are co...

    Text Solution

    |

  14. In Figure, A D\ |C D\ and C B\ | CD If A Q=B P\ a n d\ D P=C Q , prov...

    Text Solution

    |

  15. A B C D is a square, X\ a n d\ Y are points on sides A D\ a n d\ B C r...

    Text Solution

    |

  16. Which of the following statements are true (T) and which are false ...

    Text Solution

    |

  17. Fill in the blanks in the following so that each of the following st...

    Text Solution

    |

  18. In a A B C ,\ if /A=45^0\ a n d\ /B=70^0dot Determine the shortest ...

    Text Solution

    |

  19. In a A B C , if /A=50^0\ a n d\ /B=60^0 , determine the shortest a...

    Text Solution

    |

  20. In Figure, P Q > P R. Q S\ a n d\ R S are the bisectors of / Q and /R ...

    Text Solution

    |