Question

a line segment from the center of a circle to any point on the circle is called the _____________.
the longest chord in a circle, which passes through the center, is called the _____________.
an angle whose vertex is on the circle and whose sides are chords is called an _____________.
a line segment with both endpoints on the circle is called a _____________.
the measure of an inscribed angle is half the measure of its arc.
a radius that bisects a chord is _____________ to the chord.
chords that are equidistant from the center of a circle are _____________ in length.
the part of the circumference of a circle is called an _____________.

Explanation:

1. By the definition of a radius in a circle, it is a line - segment from the center to a point on the circle.
2. The diameter is the longest chord passing through the center.
3. An inscribed angle has its vertex on the circle and sides as chords.
4. A chord is a line - segment with endpoints on the circle.
5. The measure of an inscribed angle is half of its intercepted arc.
6. A radius bisecting a chord is perpendicular to the chord (a property of circles).
7. Chords equidistant from the center of a circle are equal in length.
8. An arc is a part of the circumference of a circle.

Answer:

1. radius
2. diameter
3. inscribed angle
4. chord
5. intercepted
6. perpendicular
7. equal
8. arc