`P\ a n d\ Q` are the points of trisection of the diagonal `B D` of a parallelogram `A B C Ddot` Prove that `C Q` is parallel to `A Pdot` Prove also that `A C` bisects `P Q`

P and Q are the points of trisection of the diagonal BD of a parallelogram ABCD. Prove that CQ is parallel to AP.

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

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

In a parallelogram ABCD,points P and Q are points of trisection of diagonal BD.Prove that CQ is parallel to AP.

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

In a parallelogram A B C D , the bisector of /_A also bisects B C at Xdot Prove that A D=2A B

If P\ a n d\ Q are the mid points of the sides AB and CD of a parallelogram ABCD, prove that DP and BQ cut the diagonal AC in its points of trisection which are also the points of trisection of DP and BQ respectively.

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

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 a parallelogram A B C D , the bisector of /_A also bisects B C at X . Prove that A D=2A B .