Home
Class 9
MATHS
D, E and F are the mid-points of the sid...

D, E and F are the mid-points of the sides AB, BC and CA respectively of A ABC. AE meets DF at O. P and Q are the mid-points of OB and OC respectively. Prove that DPOF is a parallelogram.

Text Solution

Verified by Experts

The correct Answer is:
DPQF
Promotional Banner

Topper's Solved these Questions

  • MID-POINT THEOREM

    ICSE|Exercise 4 MARKS QUESTION |15 Videos
  • MID-POINT AND ITS CONVERSE(INCLUDING INTERCEPT THEOREM)

    ICSE|Exercise EXERCISE 12(B)|23 Videos
  • PYTHAGORAS THEORAM

    ICSE|Exercise QUESTIONS|9 Videos

Similar Questions

Explore conceptually related problems

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: BDEF is a parallelogram.

In parallelogram ABCD, E and F are mid-points of the sides AB and CD respectively. The lines segments AF and BF meet the line segments ED and EC at points G and H respectively. Prove that : GEHF is a parallelogram.

D and E are the mid-points of the sides AB and AC of Delta ABC 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 Option1 a square Option2 a rectangle Option3 a rhombus Option4 a parallelogram

D, E and F are the mid-points of the sides BC, CA and AB respectively of triangle ABC. Prove that: area of BDEF is half the area of Delta ABC.

In parallelogram ABCD, E and F are mid-points of the sides AB and CD respectively. The lines segments AF and BF meet the line segments ED and EC at points G and H respectively. Prove that : triangle HEB and FHC are congruent.

If D(3,-2) , E(-3,1) and F(4,-3) are the mid-points of the sides BC, CA and AB respectively of Delta ABC , find the co-ordinates of point A , B and C .

If D , E and F are the mid-points of the sides BC , CA and AB respectively of the DeltaABC and O be any point, then prove that OA+OB+OC=OD+OE+OF

In Delta ABC, D,E and F are mid-point of sides AB ,BC and AC respectively , Prove that AE and DF bisect each other.

ABCD is a quadrilateral in which AD = BC. E, F, G and H are the mid-points of AB, BD, CD and AC respectively. Prove that EFGH is a rhombus.

D, E and F are the mid-points of the sides BC, CA and AB, respectively of an equilateral Delta ABC. Show that Delta DEF is also an equilateral triangle.