Home
Class 9
MATHS
In the adjacent figure ABCD is a paralle...

In the adjacent figure ABCD is a parallelogram and E is the midpoint of the side BC. If DE and AB are produced to meet at F, show that `AF = 2AB`.

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    NCERT GUJARATI|Exercise EXERCISE - 8.4|6 Videos
  • QUADRILATERALS

    NCERT GUJARATI|Exercise EXERCISE - 8.2|3 Videos
  • PROOFS IN MATHEMATICS

    NCERT GUJARATI|Exercise EXERCISE - 15.4|15 Videos
  • REAL NUMBERS

    NCERT GUJARATI|Exercise EXERCISE - 1.4|37 Videos

Similar Questions

Explore conceptually related problems

In the adjacent figure ABCD is a parallelogram P and Q are the midpoints of sides AB and DC respectively. Show that PBCQ is also a parallelogram.

In the adjacent figure ABCD is a parallelogram ABEF is a rectangle show that DeltaAFD~=DeltaBEC .

In rectangle ABCD, E is the midpoint of side BC. Prove that, AE = DE.

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 the adjacent figure DeltaABC, D is the midpoint of BC. DE_|_AB, DF_|_AC and DE = DF . Show that DeltaBED ~= Delta CFD .

In the figure, ABCD is a quadrilateral. AC is the diagonal and DE || AC and also DE meets BC produced at E. Show that ar(ABCD) = ar (DeltaABE).

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) .

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

In the adjacent figure, we have AC = XD, C and D are mid points of AB and XY respectively. Show that AB = XY.

ABCD is quadrilateral E, F, G and H are the midpoints of AB, BC, CD and DA respectively. Prove that EFGH is a parallelogram.