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

In the figure, do the segments AB and CD inttersect ? Are they parallel? Give reasons for your answer.

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

In Figure, chords A D a n d B C intersect each other at right angles at a point Pdot If /_D A B=35^0, then /_A D C= 35^0 (b) 45^0 (c) 55^0 (d) 65^0

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 .

Do the ATC and AVC curves intersect? Give reasons.

A B C D is a parallelogram, E\ a n d\ F are the mid-points of A B\ a n d\ C D respectively. G H is any line intersecting A D ,\ E F\ a n d\ B C at G ,\ P\ a n d\ H respectively. Prove that G P=P H

In Figure, X ,\ Y are the mid-points of opposite sides A B\ a n d\ D C of a parallelogram A B C DdotA Y\ a n d\ D X are joined intersecting in P ; C X\ a n d\ B Y are joined intersecting in Q . Show that A X C Y is a parallelogram (ii) D X B Y\ is a parallelogram quadrilateral P X Q Y is a parallelogram

Diagonals of parallelogram A B C D intersect at O as shown in Figure. XY contains O , a n d X , Y are points on opposite sides of the parallelogram. Give reasons for each of the following: O B=O D (ii) /_O B Y=/_O D X /_B O Y= /_D O X (iv) B O Y~= D O X Now, state if X Y is bisected at Odot

In Figure, triangle A B C is right-angled at Bdot Give that A B=9C M ,\ A C=15 C M ,\ a n d\ D ,\ E\ are the mid-points of the sides A B\ a n d\ A C respectively, calculate The length of B C (ii) The area of A D E