Let point E lie in the exterior of OP. How many tangent lines can be constructed to OP from point E?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Question:**

Let point \( E \) lie in the exterior of circle \( P \). How many tangent lines can be constructed to circle \( P \) from point \( E \)?

**Explanation:**

In geometry, when a point \( E \) is located outside of a circle, two tangent lines can generally be drawn from the point to the circle. These tangents are the only lines that will touch the circle at exactly one point each, maintaining the property that the tangent is perpendicular to the radius at the point of contact.
Transcribed Image Text:**Question:** Let point \( E \) lie in the exterior of circle \( P \). How many tangent lines can be constructed to circle \( P \) from point \( E \)? **Explanation:** In geometry, when a point \( E \) is located outside of a circle, two tangent lines can generally be drawn from the point to the circle. These tangents are the only lines that will touch the circle at exactly one point each, maintaining the property that the tangent is perpendicular to the radius at the point of contact.
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