Home
Class 9
MATHS
If E, F G and H are respectively the mi...

If E, F G and H are respectively the midpoints of the sides AB, BC, CD and AD of a parallelogram ABCD, show that ar(EFGH) `=1/2` ar (ABCD) .

Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    KUMAR PRAKASHAN|Exercise Exercise 9.3|10 Videos

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    KUMAR PRAKASHAN|Exercise Exercise 9.4|5 Videos

  • BOARD'S SAMPLE QUESTION PAPERS (QUESTION PAPER 1 : FOR THE FIRST TEST)

    KUMAR PRAKASHAN|Exercise Section D (Solve the following) |4 Videos

Similar Questions

Explore conceptually related problems

E and F are respectively the mid-points of equal sides AB and AC of DeltaABC (see figure) Show that BF = CE.

If P and Q are the middle points of the sides BC and CD of the parallelogram ABCD, then AP+AQ is equal to

P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD show that ar(DeltaAPB) = ar Delta(BQC)

E and F are respec­tively the midpoints of equal sides AB and AC of triangle ABC (see the given figure). Show that BF = CE.

D, E and F are respectively the mid-points of sides AB, BC and CA of DeltaABC . Find the ratio of the areas of DeltaDEF" and "DeltaABC .

If D, E and F be the middle points of the sides BC,CA and AB of the DeltaABC , then AD+BE+CF is

In DeltaABC , D , E and F are respectively the midpoints of sides AB, BC and CA( see the given figure). Show that DeltaABC is devided into four congruent triangles by joining D, E and F.

E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that DeltaABE ~ DeltaCFB .

For parallelogram ABCD, ar(ABCD)=48 cm^2 . Then ar(ABC)=___ cm^2

ABCD is a square. E, F, G and H are the mid points of AB, BC, CD and DA respectively. Such that AE = BF = CG = DH . Prove that EFGH is a square.

KUMAR PRAKASHAN-AREAS OF PARALLELOGRAMS AND TRIANGLES-Multiple Choice Questions (MCQs)
  1. If E, F G and H are respectively the midpoints of the sides AB, BC, C...

    Text Solution

    |

  2. Area of a parallelogram =

    Text Solution

    |

  3. Area of a triangle =

    Text Solution

    |

  4. ABCD is a rectangle . If AB=10 cm and ar(ABCD)=150 cm^2 , then BC= cm.

    Text Solution

    |

  5. ABCD is a square . If ar(ABCD)=36 cm^2 . Then AB= cm.

    Text Solution

    |

  6. In triangleABC, BC=10 cm and the length of altitude AD is 5 cm. Then ,...

    Text Solution

    |

  7. In triangleABC, AD is an altitude . If BC=8 cm and ar (ABC)=40 cm^2, t...

    Text Solution

    |

  8. In trianglePQR , PM is an altitude and QR is the hypotenuse. If QR=12 ...

    Text Solution

    |

  9. In triangleXYZ, XZ is the hypotenuse. If XY = 8 cm and YZ=12 cm, then...

    Text Solution

    |

  10. In parallelogram ABCD, AM is an altitude corresponding to base BC. If ...

    Text Solution

    |

  11. In parallelogram PQRS, QR=10 cm and ar(PQRS)=120 cm^2 . Then the lengt...

    Text Solution

    |

  12. For parallelogram ABCD, ar(ABCD)=48 cm^2 . Then ar(ABC)= cm^2

    Text Solution

    |

  13. ABCD is a rhombus . If AC=6cm and BD=9 cm, then ar(ABCD)= cm^2

    Text Solution

    |

  14. PQRS is a rhombus. If ar (PQRS)=40 cm^2 and PR = 8 cm, then QS=cm.

    Text Solution

    |

  15. In trianglePQR, angleQ=90^@, PQ=5 cm and PR=13 cm. Then ar(PQR)= cm^2

    Text Solution

    |

  16. In triangleABC , P,Q and R are the midpoints of AB, BC and CA respecti...

    Text Solution

    |

  17. In triangleABC , P, Q and R are the midpoints of AB, BC and CA respect...

    Text Solution

    |

  18. In triangleABC , P, Q and R are the midpoints of AB, BC and CA respec...

    Text Solution

    |