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Circle Theorems: Understanding Tangent and Chord Relationships

Explore circle theorems related to tangents, chords, and angles for a deeper understanding of geometric principles. Learn how to apply alternate segment theorem and identify equal angles within circles.

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Circle Theorems: Understanding Tangent and Chord Relationships

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  1. Circle Theorems: 5. The angle between a tangent and the radius drawn to the point of contact is 900 radius tangent

  2. Circle Theorems: 6. The angle between a tangent and the radius drawn to the point of contact is 900 From any point outside a circle just two tangents to the circle may be drawn and they are equal. radius tangent

  3. Circle Theorems: 7. chord angle between tangent and chord Alternate segment theorem: The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alternate segment.

  4. Circle Theorems: 7. angle subtended by the chord chord angle between tangent and chord Alternate segment theorem: The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alternate segment.

  5. Circle Theorems: 7. angle subtended by the chord chord segment angle between tangent and chord Alternate segment theorem: The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alternate segment.

  6. Circle Theorems: 7. Alternate segment chord Alternate segment theorem: The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alternate segment.

  7. Circle Theorems: 7. chord these two angles should be equal Alternate segment theorem: The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alternate segment.

  8. Circle Theorems: 7. chord the angles are equal Alternate segment theorem: The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alternate segment.

  9. Circle Theorems: 7. angle subtended by the chord in the alternate segment angle between tangent and chord Alternate segment theorem: The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alternate segment.

  10. Circle Theorems: 7. Alternate segment theorem: The angle between a tangent and a chord through the point of contact is equal to the angle subtended by the chord in the alternate segment.

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