Construct a line tangent to a circle at a given point of the circle. Given: Circle G and point L, a point of the circle. To construct: A line tangent to O G at point L. Construction: 1. Draw radius GL. 2. Through point L, construct JK 1 GL. 3. JK is required tangent to circle O at point L.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 12E
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1. Construct a line tangent to a circle at a given point of the circle.
Given: Circle G and point L, a point of the circle.
To construct: A line tangent to O G at point L.
Construction:
1. Draw radius GL.
2. Through point L, construct JK 1 GL.
3. JK is required tangent to circle O at point L.
Transcribed Image Text:1. Construct a line tangent to a circle at a given point of the circle. Given: Circle G and point L, a point of the circle. To construct: A line tangent to O G at point L. Construction: 1. Draw radius GL. 2. Through point L, construct JK 1 GL. 3. JK is required tangent to circle O at point L.
2. Construct tangent segments drawn from an external point to a circle are
congruent.
Given: Tangents are SD and SL drawn point S to circle O. D and L are
the points of tangency.
Transcribed Image Text:2. Construct tangent segments drawn from an external point to a circle are congruent. Given: Tangents are SD and SL drawn point S to circle O. D and L are the points of tangency.
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