External point and tangent segments
Two tangent segments drawn from the same external point are equal, and this fact is often used with segment labels in figures.
Practice This ConceptMain explanation
Teacher explanation
In many problems, an outside point sends two line segments to the circle. Once both are confirmed as tangents, the equal-length rule can be used immediately. This helps in finding unknowns, proving equal sides, and solving geometry equations inside the figure.
Example
If P is outside the circle and PA and PB are tangents, then PA = PB.
Simple analogy
One outside point, equal tangent lengths.
Common confusion
Students sometimes compare the segments from the external point to two different contact points without checking whether both are tangents.
Exam tip
The moment you see two tangents from one outside point, write them equal and move to the algebra or proof step.
Answer writing and exam use
1-mark use
Write the exact meaning of external point and tangent segments in one clean line.
2-mark use
Define external point and tangent segments and add one example or condition.
3-mark use
Explain external point and tangent segments, show the method or example, and mention the common mistake.
Practice this concept with focused MCQs
Open the concept quiz intro first, review the test details, and then start a focused MCQ set from this concept only. Instant score and answer review are live now.
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