GCSE Maths Practice: circle-theorems

Question 8 of 10

This multiple-answer question tests properties of tangents to a circle from an external point.

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\( \begin{array}{l}\text{Which of the following are true about tangents to a circle?}\end{array} \)

Select all correct options:

\( \text{Tangents from the same external point are equal in length} \) \( \text{A tangent crosses the circle} \) \( \text{A tangent touches the circle at exactly one point} \) \( \text{A tangent is perpendicular to the chord} \)

Remember: tangent touches at one point, and tangents from same external point are equal.

Tangents to a circle have two key properties: a tangent touches the circle at exactly one point, and tangents drawn from the same external point are equal in length. These properties are crucial for solving geometry problems involving tangents, circles, and triangle constructions. Understanding tangent properties is essential for proofs and reasoning in GCSE geometry. Practising these properties improves accuracy in calculations and diagram analysis.