Here are the correct matches for the items listed:

1. center - h. all points equidistant from a fixed point
2. circle - b. a line segment from the center of a circle to any point on the circle
3. construction - i. a geometric drawing done with only a compass and a straight-edge
4. converse - d. theorem formed by reversing the hypothesis and the conclusion of the original theorem
5. corresponding angles - j. nonadjacent angles lying on the same side of the transversal; one is an exterior angle while the other is an interior angle
6. parallel lines - g. lines in the same plane that never intersect
7. perpendicular bisector - a. a line perpendicular to a line segment at its midpoint
8. radius - e. the point from which all the points in a circle are a fixed distance
9. skew lines - f. two lines that do not lie in the same plane and do not intersect
10. transversal - c. a line that intersects two or more lines in the same plane

Do you need more details on any of these terms, or have any other questions? Here are some additional topics we could explore:

1. What are the properties of parallel lines?
2. How does the definition of a circle relate to real-world applications?
3. Can you explain how corresponding and alternate interior angles work?
4. What are some examples of geometric constructions using only a compass and straight-edge?
5. How do you prove theorems by converse?

Tip: Understanding the relationships and properties of geometric figures and lines can significantly simplify solving complex geometry problems.