Question

read the sentences below, filling in the blanks with items from this list. each item will be used once.
radius
inscribed angle theorem
inscribed
diameter
circumscribed
chord
central
radius

the measure of an angle formed by a chord at the center of the circle is called a _ angle.

a polygon that can be perfectly drawn inside a circle, touching all sides, is described as _.

the _ states that the opposite angles of a quadrilateral inscribed in a circle are supplementary.

an angle whose vertex is on the circumference of a circle and whose sides are chords is called an _ angle.

in geometry, the distance across a circle through its center is known as the _.

a line - segment within a circle that does not pass through the center but whose endpoints lie on the circle is called a _.

the _ is the distance from the center of the circle to any point on its edge.

a circle drawn around a polygon such that all vertices of the polygon touch the circle is called a _ circle.

Explanation:

1. An angle formed by a chord at the center of a circle is a central angle.
2. A polygon inside a circle touching all sides is inscribed.
3. The property that opposite angles of an inscribed - quadrilateral are supplementary is from the Inscribed Angle Theorem.
4. An angle with vertex on the circumference and sides as chords is an inscribed angle.
5. The distance across a circle through its center is the diameter.
6. A line - segment in a circle not through the center but with endpoints on the circle is a chord.
7. The distance from the center of a circle to any point on its edge is the radius.
8. A circle drawn around a polygon such that all vertices of the polygon touch the circle is a circumscribed circle.

Answer:

1. central
2. inscribed
3. Inscribed Angle Theorem
4. inscribed
5. diameter
6. chord
7. radius
8. circumscribed