In Figure, `A B\ a n d\ C D` are respectively the smallest and longest sides of a quadrilateral `A B C Ddot` Show that `/_A >/_C\ a n d\ /_B >/_D`

In Figure,AB and CD are respectively the smalles and longest sides of a quadrilateral A BCD.Show that /_A>/_C and /_B>/_D.

AB and CD are respec­tively the smallest and longest sides of a quadrilateral ABCD (see th e given figure). Show that angle A gt angle C and angle B gt angle D

In figure OA*OB=OC*OD. Show that /_A=/_C and /_B=/_D

In Figure, A N and C P are perpendicular to the diagonal B D of a parallelogram A B C Ddot Prove that : A D N~= C B P (ii) A N=C P

A B C D is a trapezium with parallel sides A B=a\ a n d\ D C=bdot If E\ a n d\ F are mid-points of non-parallel sides A D\ a n d\ B C respectively, then the ratio of areas of quadrilaterals A B F E\ a n d\ E F C D is: a : b (b) (a+3b):(3a+b) (3a+b):(a+3b) (d) (3a+b):(3a+b)

p A N D q are any two points lying on the sides D C a n d A D respectively of a parallelogram A B C Ddot Show that a r( A P B)=a r ( B Q C)dot

In Fig.85, A B C D\ a n d\ A C B Ddot Find the value of x , y , zdot

In a cyclic quadrilateral A B C D if A B C D a n d /_B=70^0, find the remaining angles.

In A B C ,\ D ,\ E\ a n d\ F are, respectively, the mid-points of B C ,\ C A\ a n d\ A B . If the lengths of side A B ,\ B C\ a n d\ C A are 7cm, 8cm, and 9cm, respectively, find the perimeter of D E F

E , F , G , H are respectively, the mid-points of the sides A B ,B C ,C D and D A of parallelogram A B C D . Show that the quadrilateral E F G H is a parallelogram and that its area is half the area of the parallelogram, A B C Ddot GIVEN : A quadrilateral A B C D in which L ,F ,G ,H are respectively the mid-points of the sides A B ,B C ,C D and D Adot TO PROVE : (i) Quadrilateral E F G H is a parallelogram a r(^(gm)E F G H)=1/2a r(^(gm)A B C D) CONSTRUCTION : Join A C and H F