Advertisements
Advertisements
प्रश्न
The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a
विकल्प
parallelogram
rectangle
square
rhombus
Advertisements
उत्तर
Figure can be drawn as:
Let ABCD be a quadrilateral such that P,Q,R and S are the mid-points of side AB,BC,CD and DA respectively.
In ΔABC,P and Q are the mid-points of AB and BC respectively.
Therefore,
PQ || AC and `PQ = 1/2 AC`
Similarly, we have
RS || ACand `RS = 1/2 AC`
Thus,
PQ || RS and PQ = RS
Therefore, PQRSis a parallelogram.
The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a
parallelogram.
Hence the correct choice is (a).
APPEARS IN
संबंधित प्रश्न
ABCD is a rhombus. Show that diagonal AC bisects ∠A as well as ∠C and diagonal BD bisects ∠B as well as ∠D.
The following statement are true and false .
In a parallelogram, the diagonals are equal
The following statement are true and false .
In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.
The following statement are true and false .
If all the angles of a quadrilateral are equal, it is a parallelogram .
If ABCD is a rhombus with ∠ABC = 56°, find the measure of ∠ACD.
In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.
PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm
The bisectors of the angle of a parallelogram enclose a
ABCD is a parallelogram and E and F are the centroids of triangles ABD and BCDrespectively, then EF =
ABCD is a parallelogram, M is the mid-point of BD and BM bisects ∠B. Then ∠AMB =
