# Math Help - Arcs

1. ## Arcs

Please give me full solution of this question with image also:
If X and Y are the middle points of arcs AB and CD of circle and sigment joining by X and Y cuts the AB and CD at point P and Q then prove that AP=AQ

2. Hello, soni!

There must be a typo . . . The problem makes no sense.

$X\text{ and }Y$ are midpoints of arcs $AB\text{ and }CD$ of a circle
and segment $XY$ cuts chords $AB\text{ and }CD$ at $P\text{ and }Q$, resp.

Prove: . $AP=AQ$ . ??
Code:
                  C
A   * * o
o       |   *
* |       |     *
*  |       |      *
|       |
*   |P      |Q      *
X o - + - - - + - - - o Y
*   |       |       *
|       |
*  |       |      *
* |       |     *
o       |   *
B   * * o
D

Draw segment $AQ.$

We can see that $AP$ is never equal to $AQ.$