While constructing a segment of a circle containing and angle $\theta$, which of the following property of tangents is used?
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Tangent is perpendicular to the radius.
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The angle between a tangent and a chord is equal to the inscribed angle on the opposite side of the chord.
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A tangent intersects the circle at only one point.
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Two tangents can be drawn from an external point to a given circle and the lengths of both the tangents are equal.
The property used to construct a segment of a circle containing an angle theta is the alternate segment theorem, which states that the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
To construct a segment of a circle containing a specific angle theta, the alternate segment theorem is utilized. This theorem states that the angle between a tangent and a chord is equal to the inscribed angle on the opposite side of the chord. By drawing a tangent at one end of the chord and using this property, the required segment can be accurately constructed. The correct property is that the angle between a tangent and a chord is equal to the inscribed angle on the opposite side of the chord.