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, 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, 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, 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 each of the following, draw a perpendicular through point P to the line segment AB: .

Find the equation of a line perpendicular to the line (x)/(a)+(y)/(b)-1 and passes through the mid-point of the line segment lying between the axes of the given line.

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

Consider the following figure of line MN Say whether following statements are true or false in context of the given figure.(a) Q, M, O, N, P are points on the line MN.(b) M, O, N are points on a line segment MN.(c) M and N are end points of line segment MN.(d) O and N are end points of line segment OP.(e) M is one of the end points of line segment QO.(f) M is point on ray OP.

Draw a line segment P Q length 8. 4\ c mdot Draw the perpendicular bisector of this line segment.

In Figure, A B C D is a parallelogram. E and F are the mid-points of the sides A B and C D respectively. Prove that the line segments A F and C E triset (divide into three equal parts) the diagonal B Ddot

In Figure, line segments A B is parallel to another line segment C D .O is the mid-point of A D . Show that: A O B~=\ \ D O C .