Home
Class 9
MATHS
Dand E are the mid-points of the sides A...

Dand E are the mid-points of the sides AB and AC of `DeltaABC` and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

A

a square

B

a rectangle

C

a rhombus

D

a parallelogram

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    MODERN PUBLICATION|Exercise EXERCISE|133 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|45 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|239 Videos

Similar Questions

Explore conceptually related problems

If in a triangle AB=a,AC=b and D,E are the mid-points of AB and AC respectively, then DE is equal to

ABCD is a parallelogram . If P and Q are the mid-points of [BC] and [CD] respectively, show that vec AP + vec AQ=

If D,E and F are the mid-points of the sides BC,CA and AB, respectively of a DeltaABC and O is any point, show that (i) AD+BE+CF=0

P is a point on the side BC of DeltaABC and Q is a point such that PQ is the resultant of AP,PB and PC. Then, ABQC is a

E and F are respectively the mid-points of equal sides AB and AC of Delta ABC (see Fig. 7.28). Show that BF = CE.

If P,Q and R are the mid-point of the side BC,CA and AB of a triangle and AD is the perpendicular form A and BC, prove that P,Q and D are concylic.

D and E are the mid-points of the sides AB and AC respectively of DeltaABC . DE is produced to F. To prove that CF is equal and parallel to DA, we need an additional information which is

If M is the mid point of hypotenuse AC of rt. DeltaABC then BM = 1/2.....

MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. If APB and CQD are two parallel lines, then the bisectors of the angle...

    Text Solution

    |

  2. The figure obtained by joining the midpoints of the sides of a rhombus...

    Text Solution

    |

  3. Dand E are the mid-points of the sides AB and AC of DeltaABC and O is ...

    Text Solution

    |

  4. The figure formed by joining the midpoints of the sides of a quadrilat...

    Text Solution

    |

  5. The diagonals AC and BD of a parallelogram ABCD intersect each other a...

    Text Solution

    |

  6. Which of the following is not true for a parallelogram?

    Text Solution

    |

  7. D and E are the mid-points of the sides AB and AC respectively of Delt...

    Text Solution

    |

  8. The length of the diagonals of a rhombus are 24 cm and 32 cm. the peri...

    Text Solution

    |

  9. Prove that the sum of the squares of the sides of a rhombus is equal t...

    Text Solution

    |

  10. In the fig. ABCD is a parallelogram if angleADB=30^@ and angleDCB=80^@...

    Text Solution

    |

  11. In a parallelogram PQRS, write the sum angles of P and Q.

    Text Solution

    |

  12. The angle of a quadrilateral are in the ratio 1:3:5:6 find the greates...

    Text Solution

    |

  13. ABCD is a rectangle in which diagonal AC bisects /A as well as /C. Sho...

    Text Solution

    |

  14. State and prove mid point theorem.

    Text Solution

    |

  15. The figure formed by joining the mid points of the adjacent sides of a...

    Text Solution

    |

  16. E and F are points on diagonals AC of a parallelogram ABCD such that A...

    Text Solution

    |

  17. If the length of the side of a rhombus is equal to the length ...

    Text Solution

    |

  18. In the fig. AD is a median of triangle ABC and E is the mid point of A...

    Text Solution

    |

  19. ABCD is a rectangle and P, Q, R and S are the mid-points of the sides ...

    Text Solution

    |

  20. ABCD is a quadrilateral in which AB||DC and AD=BC. Prove that angleA=a...

    Text Solution

    |