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

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.

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 figure, ΔABC, D, E, F are the midpoints of sides BC, CA and AB respectively. Show that (i) BDEF is a parallelogram (ii) ar(DeltaDEF)=1/4ar(DeltaABC) (iii) ar(BDEF)=1/2ar(DeltaABC)

DeltaABC is an equilateral triangle. D, E and F are the midpoints of AB, BC and CA respectively. If AB = 8 cm, the perimeter of A DEF is ………. cm.

In DeltaABC , E and F are the midpoints of sides AB and AC respectively. If EF=5cm, find BC.

ABCD is a convex quadrilateral and 3, 4, 5, and 6 points are marked on the sides AB, BC, CD, and DA, respectively. The number of triangles with vertices on different sides is

In DeltaABC , E and F are the midpoints of AB and AC respectively. If EF = 4 cm, then BC= ……….. Cm

ABCD is a rectangle formed by the points A(-1, -1) , B(-1, 4), C(5,4) and D(5, -1) . P,Q R S are the midpoints of AB, BC, CD, and DA respectively. Is the quadrilateral PQRS a square ? a rectangle ? or a rhombus ? Justify your answer.

In DeltaABC , D, E and F are the midpoints of AB, BC and CA respectively. If the perimeter of DeltaDEF is 30 cm, then the perimeter of DeltaABC is ………

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)