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Choose the correct term to complete each sentence.

2. A(n) ________ is a region of a circle with two radii and an arc of the circle as borders.

3. A(n) ________ is an angle with its vertex on the circle.

4. A(n) ________ and the corresponding circle have exactly one point in common.

5. When both rays of an angle intersect a circle, the ________ is the portion of the circle between the rays.

Options:
- central angle
- chord
- inscribed angle
- intercepted arc
- secant
- sector of a circle
- segment of a circle
- tangent to a circle

Answer :

Sure! Let's fill in the blanks with the correct terms.

2. A(n) sector of a circle is a region of a circle with two radii and an arc of the circle as borders.

A sector of a circle is defined by two radii and the arc between them. It looks like a 'pie slice' of the circle.

3. A(n) inscribed angle is an angle with its vertex on the circle.

An inscribed angle has its vertex on the circle itself and its sides contain chords of the circle.

4. A(n) tangent to a circle and the corresponding circle have exactly one point in common.

A tangent to a circle touches the circle at exactly one point.

5. When both rays of an angle intersect a circle, the intercepted arc is the portion of the circle between the rays.

The intercepted arc is the arc that lies between the points where the rays of an angle intersect the circle.

So, the filled statements are:

2. A(n) sector of a circle is a region of a circle with two radii and an arc of the circle as borders.
3. A(n) inscribed angle is an angle with its vertex on the circle.
4. A(n) tangent to a circle and the corresponding circle have exactly one point in common.
5. When both rays of an angle intersect a circle, the intercepted arc is the portion of the circle between the rays.

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Rewritten by : Jeany