In Figure, do the segments `A B\ a n d\ C D` intersect? Are they parallel? Give reasons.

In Figure, find the four angles A ,\ B ,\ C\ a n d\ D in the parallelogram A B C D

In Figure, if chords A B\ a n d\ C D of the circle intersect each other at right angles, then x+y= (a) 45^0 (b) 60^0 (c) 75^0 (d) 90^0

In Figure, lines A B\ a n d\ C D are parallel and P is any point between the two lines. Prove that /_A B P+/_C D P=\ /_D P B

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

In Figure, if A B=A C\ a n d\ B E=C D , prove that A D=A Edot

Suppose line segments A B\ a n d\ C D intersect at O in such a way that A O=O D\ a n d\ O B=O C . Prove that A C=B D but A C may not be parallel to B D .

In Figure, B M\ a n d\ D N are both perpendiculars to the segments A C\ a n d\ B M=D N . Prove that A C\ bisects B D .

In Figure, it is given that A B=C D\ a n d\ A D=B Cdot Prove that A D C~=C B A

In Figure, if line segment A B is parallel to the line segment C D , what is the value of y? (a)12 (b) 15 (c) 18 (d) 20

In Figure, lines A B ,\ C D\ a n d\ E F intersect at O . Find the measures of /_A O C ,\ /_C O F ,\ /_D O E\ a n d\ /_B O F .