Pregunta
DESTION 8
Complete the following theorem statements below:
8.1.1 The angle between a tangent and a chord is …
8.1.2 The exterior angle of a cyclic quadrilateral is equal to …
Complete the following theorem statements below:
8.1.1 The angle between a tangent and a chord is …
8.1.2 The exterior angle of a cyclic quadrilateral is equal to …
Ask by Macdonald Christensen. in South Africa
Mar 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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8.1.1 The angle between a tangent and a chord is equal to the angle subtended by the chord in the alternate segment.
8.1.2 The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle.
Solución
Here are the completed theorem statements:
8.1.1 The angle between a tangent and a chord is equal to the angle subtended by the chord in the alternate segment.
8.1.2 The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle.
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Simplifique esta solución Beyond the Answer
The angle between a tangent and a chord is equal to the angle in the alternate segment. This is often referred to as the “tangent-chord theorem,” which beautifully illustrates the relationship between tangents and the angles formed by chords drawn to the point of tangency.
The exterior angle of a cyclic quadrilateral is equal to the opposite interior angle. This means that if you extend one side of a cyclic quadrilateral, the angle formed outside is supplementary to the interior angle across from it, showcasing a fascinating property of the circle’s geometry.
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