In Figure, `A P\ a n d\ B Q` are perpendiculars to the line segment `A B\ a n d\ A P=B Q` . Prove that `O` is the mid-point of line segment `A B\ a n d\ P Q`

In Figure, A P and B Q are perpendiculars to the line segment A B and A P=B Qdot Prove that O is the mid-point of line segment A B and P Qdot Figure

In Figure, l||m and M is the mid-point of the line segment A B . Prove that M is also the mid-pooint of any line segment C D having its end-points on l\ a n d\ m respectively.

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 Figure, P\ a n d\ Q are centres of two circles intersecting at B\ a n d\ C. A C D is a straight line. Then, /_B Q D=

In Figure, line segments A B is parallel to another line segment C DdotO is the mid-point of A Ddot Show that: O is also the mid-point of B D

In Figure, if A B||D C\ a n d\ P is the mid-point B D , prove that P is also the midpoint of A C

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ (triangle \ P R Q)=1/2a r\ (triangle \ A R C) .

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( P B Q)=\ a r\ (\ A R C)

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle P B Q)=\ a r\ (triangle \ A R C)

In triangle A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A P . Prove that: a r\ ( triangle R Q C)=3/8\ a r\ (triangle \ A B C) .