Of all the line segments drawn from a point `P` to `a` line `m` not containing `P ,` let `P D` be the shortest. If `B` and `C` are points on `m` such that `D` is the mid-point of `B C` , prove that `P B=P Cdot`

Of all the lines segments drawn from a point P to a line m not containing P , let P D be the shortest. If B\ a n d\ C are points on m such that D is the mid-point of B C , prove that P B=P C .

of all the line segments drawn from a point P to a line m not containing P, let PD be the shortest.If B and C are points on m such that D is the mid-point of BC, prove that PB=PC.

of all the lines segments drawn from a point P to alline m not containing P, let PD be the shortest.If B and C are points on m such that D is the mid-point of BC, prove that PB=PC .

Of all the line segments drawn from a point P to a line l not containing P, let PD be the shortest. If B and C are points on l such that D is the mid-point of BC, prove that PB = PC.

In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A C

In Figure, A B C D\ a n d\ P Q R C are rectangles and Q is the mid-point of A C . Prove that D P=P C (ii) P R=1/2\ A C

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

Of all the line segments that can be drawn to a given line, from a point, not lying on it, the perpendicular line segment is the shortest. GIVEN : A straight line l and a point P not lying on ldot P M_|_l and N is any point on 1 other than Mdot TO PROVE : P M

Of all the line segments that can be drawn to a given line, from a point, not lying on it, the perpendicular line segment is the shortest. GIVEN : A straight line l and a point P not lying on ldot P M_|_l and N is any point on 1 other than Mdot TO PROVE : P M

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)