Home
Class 9
MATHS
A diagonal of parallelogram divides it i...

A diagonal of parallelogram divides it into two congruent triangles.

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

Prove that A diagonal of a parallelogram divides it into two triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area.

Show that the diagonals of a parallelogram divide it into four triangles of equal area. GIVEN : A parallelogram A B C D . The diagonals A C and B D intersect at Odot TO PROVE : a r( O A B)=a r( O B C)=a r( O C D)=a r( A O D)

The median of a triangle divides it into two (a)congruent triangle (b) isosceles triangles (c)right triangles (d) triangles of equal areas

The median of a triangle divides it into two

The diagonal AC of a quadrilateral ABCD divides it into two triangles of equal areas. Prove that diagonal AC bisects the diagonal BD.

Show that the segment joining the mid-points of a pair of opposite sides of a parallelogram, divides it into two equal parallelograms.

If the two diagonals of a parallelogram are equal, it is a rectangle.

If the diagonals of a parallelogram are equal and intersect at right angles, then the parallelogram is a square.

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. The angle of quadrilateral are respectively 100^0,98^0,92^0dot Find th...

    Text Solution

    |

  2. The angles of a quadrilateral are in the ratio 3:5:9: 13. Find all the...

    Text Solution

    |

  3. A diagonal of parallelogram divides it into two congruent triangles.

    Text Solution

    |

  4. In Figure, bisectors of /B and /D of quadrilateral A B C D meet C D...

    Text Solution

    |

  5. In a quadrilateral A B C D ,\ C O\ a n d\ D O are the bisectors of /C\...

    Text Solution

    |

  6. Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F ...

    Text Solution

    |

  7. ABC is a triangle right angled at C. A line through the mid-point M ...

    Text Solution

    |

  8. The line drawn through the mid-point of one side of a triangle, par...

    Text Solution

    |

  9. In Figure, D ,E and F are, respectively the mid-points of sides B C ,C...

    Text Solution

    |

  10. In DeltaA B C , D, E and F are respectively the mid-points of sides...

    Text Solution

    |

  11. l, m and n are three parallel lines intersected by transversals p an...

    Text Solution

    |

  12. A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ ...

    Text Solution

    |

  13. A B C D is a rhombus, E A B F is a straight line such that E A=A B=B F...

    Text Solution

    |

  14. A B C D is a parallelogram. A D is a produced to E so that D E=D C and...

    Text Solution

    |

  15. The line segment joining the mid-points of any two sides of a triangle...

    Text Solution

    |

  16. In a quadrilateral ABCD, CO and DO are the bisectors of /C and /D ...

    Text Solution

    |

  17. The angle of a quadrilateral are respectively 100^0,\ 98^0,\ 92^0dot F...

    Text Solution

    |

  18. In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in t...

    Text Solution

    |

  19. The sides B A and D C of a quadrilateral A B C D are produced as shown...

    Text Solution

    |

  20. In a quadrilateral A B C D ,A O andB O are the bisectors of A/ and /B ...

    Text Solution

    |