`A B C D` is a kite having `A B=A D` and `B C=C D` . Prove that the figure formed by joining the mid-points of the sides, in order, is a rectangle.

The diagonals of a quadrilateral A B C D are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.

The diagonals of a quadrilateral A B C D are perpendicular. Show that the quadrilateral, formed by joining the mid-points of its sides, is a rectangle.

In /_\ A B C ,\ /_A=30^@,\ /_B=40^@a n d\ /_C=110^@ . The angles of the triangle formed by joining the mid-points of the sides of this triangle are

In Figure, it is given that A B=B C and A D=E C . Prove that A B E~=C B D

Prove that the figure formed by joining the mid-points of the pair of consecutive sides of a quadrilateral is a parallelogram. OR ABC D is a parallelogram in which P ,Q ,R and S are mid-points of the sides A B ,B C ,C D and D A respectively. A C is a diagonal. Show that : P Q|| A C and P Q=1/2A C S R || A C and S R=1/2A C P Q=S R (iv) P Q R S is a parallelogram.

The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a (a) parallelogram (b) rectangle (c)square (d) rhombus

The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a (a) parallelogram (b) rectangle (c) square (d) rhombus

The figure formed by joining the mid-points of the adjacent sides of a rhombus is a (a)square (b) rectangle (c) trapezium (d) none of these

The figure formed by joining the mid-point of the adjacent sides of a parallelogram is a (a)rectangle (b) parallelogram (c) rhombus (d) square

In Fig. 32, A B C D is a rectangle of length A B=40\ c m and breadth B C=25\ c mdot If P , Q , R , S be the mid-points of the sides A B ,\ B C ,\ C D\ and \ D A respectively, find the area of the shaded region.