Home
Class 9
MATHS
In the figure, it is given that BDEF and...

In the figure, it is given that BDEF and FDCE are parallelogram. Can you say that BD = CD ? Why or why not?

Text Solution

Verified by Experts

Yes, in the given figure, BDEF is a parallelogram.
`therefore" "BD||EF and BD=EF" "...(i)`
Also, FDCE is a parallelogram.
`therefore" "CD||EF`
and CD = EF `" "`…(ii)
From Eqs. (i) and (ii), BD = CD = EF
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    NCERT EXEMPLAR|Exercise Polynomials|72 Videos

  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR|Exercise LONG ANSWER TYPE QUESTIONS|5 Videos

Similar Questions

Explore conceptually related problems

In Figure,BDEF and DCEF are each a parallelogram.Is it true that BD=DC? Why or why not?

In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC bot BD, then angle BEC =

In the figure, show that 2(AC+BD) gt AB+BC +CD+ DA .

In the figure given below M is the midpoint of side CD of the parallelogram ABCD. What is ON:OB ?

In fig 7.13, AD=CD and AB=CB. (i) state the three pairs of equal in Delta ABD and DeltaCBD. (iii) Is DeltaABD [-=~?] DeltaCBD ? Why or why not ? (iii) Does BD bisect ? ABC ? Given reasons

The diagonals of a parallelogram are not perpendicular.Is it a rhombus? Why or why not?

In the given figure, P is the mid-point of side BC of a parallelogram ABCD such that angleBAP=angleDAP. Prove that AD = 2CD.

NCERT EXEMPLAR-QUADRILATERALS -Quadrilaterals
  1. Can all the four angles of a quadrilateral be obtuse angles ? Give rea...

    Text Solution

    |

  2. In DeltaABC, AB = 5cm , BC = 8 cm and CA = 7cm. If D and E are respect...

    Text Solution

    |

  3. In the figure, it is given that BDEF and FDCE are parallelogram. Can y...

    Text Solution

    |

  4. In figure, ABCD and AEFG are two parallelograms. If angleC = 55^(@), ...

    Text Solution

    |

  5. Can all the angles of a quadrilateral be acute angles ? Give reason fo...

    Text Solution

    |

  6. Can all the angles of a quadrilateral be right angles ? Give reason fo...

    Text Solution

    |

  7. Diagonals of a quadrilateral ABCD bisect each other. If angleA=35^(@),...

    Text Solution

    |

  8. Opposite angles of a quadrilateral ABCD are equal. If AB = 4 cm, deter...

    Text Solution

    |

  9. One angle of a quadrilateral is 108^0 and the remaining three angles a...

    Text Solution

    |

  10. ABCD is a trapezium in which AB||DC and angleA=angleB=45^(@). Find an...

    Text Solution

    |

  11. The angle between two altitudes of a parallelogram through the vertex ...

    Text Solution

    |

  12. ABCD is a rhombus in which altitude from D to side AB bisects AB. Find...

    Text Solution

    |

  13. E and F are points on diagonal AC of a parallelogram ABCD such that AE...

    Text Solution

    |

  14. E is the mid-point of the side AD of the trapezium ABCD with AB||DC. A...

    Text Solution

    |

  15. Through A, B and C lines RQ, PR and QP have been drawn, respectively p...

    Text Solution

    |

  16. D, E and F are the mid-points of the sides BC, CA and AB, respectively...

    Text Solution

    |

  17. Points P and Q have been taken on opposite sides AB and CD, respective...

    Text Solution

    |

  18. In figure, P is the mid-point of side BC of a parallelogram ABCD such ...

    Text Solution

    |

  19. A square is incribed in an isoceles right triangle, so that the square...

    Text Solution

    |

  20. In a parallelogram ABCD, AB = 10 cm and AD = 6 cm. The bisector of ang...

    Text Solution

    |