Math - Plane Geometry.

BC is a diameter of circle O, and radius OE is parallel to chord CD.

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In order to solve problems involving plane geometry, it is important to understand the basic concepts and properties of circles and their tangents.

Let's break down the given information and understand the situation step by step:

1. BC is a diameter of circle O: A diameter is a line segment that passes through the center of the circle and divides it into two equal halves. In this case, BC is the diameter of the circle O.

2. Radius OE is parallel to chord CD: A chord is a line segment that connects two points on the circle. In this case, we are given that the radius OE is parallel to the chord CD. Note that in a circle, a radius is always perpendicular to the chord that passes through its endpoint. Therefore, if radius OE is parallel to chord CD, it means that chord CD is perpendicular to radius OE.

To visualize this, draw a circle with diameter BC and a chord CD. Extend the radius OE from the center of the circle towards chord CD. If OE is parallel to CD, it will be perpendicular to CD.

Now, based on this information, you might be given a problem or a question to solve. If you provide the specific problem or question, I can help you further with the steps to find the solution.