AB and CD are two chords of a circle intersecting at P. Choose the correct statement from the following:
Explanation
Given that AB and CD are two chords of a circle intersecting at P, we can draw a diagram to visualize the situation. Let $O$ be the center of the circle. Since $O$ is the center of the circle, it is equidistant from points A, B, C, and D. Therefore, $O$ is the midpoint of both AB and CD. Let $M$ be the midpoint of AB and $N$ be the midpoint of CD. Then, $OM = ON$. Since $M$ and $N$ are midpoints of AB and CD respectively, $MN$ is parallel to both AB and CD. Therefore, $\\triangle ADP \\sim \\triangle BPC$
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