2. Construct tangent segments drawn from an external point to a circle arecongruent.Given: Tangents are SD and SL drawn point S to circle O. D and L arethe points of tangency.

Answered: Image /qna-images/answer/33c24c54-4f65-457b-82b7-a01915b051d0.jpg

Answered: 2. Construct tangent segments drawn…

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 47E

See similar textbooks

Similar questions

Suppose that a circle is divided into three congruent arcs by points A,B, and C. What is the measure of each arc? What type of figure results when A,B, and C are joined by line segments?
The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
In Exercises 44 to 47, prove the stated theorem. If two secant segments are drawn to a circle from an external point, then the products of the length of each secant with the length of its external segment are equal. See Figure 6.51 on page 294.
X, Y, and Z are on circle O such that mXY=120, mYZ=130, and mXZ=110. Suppose that triangle XYZ is drawn and that the triangle ABC is constructed with its sides tangent to circle O at X, Y, and Z. Are XYZ and ABC similar triangles?
In Exercises 44 to 47, prove the stated theorem. If a line is drawn through the center of a circle perpendicular to a chord, then it bisects the chord and its minor arc. See Figure 6.37 on page 288. NOTE: The major arc is also bisected by the line.
The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
Given that CF is a tangent to the circle shown: a)CF=6,AC=12,BC=?b)AG=3,BE=10,BG=4,DG=?c)AC=12,BC=4,DC=3,CE=?d)AG=8,GD=5,BG=10,GE=?e)CF=6,AB=5,BC=?f)EG=4,BC=3,CD=ED,ED=?g)AC=30,BC=5,ED=12,CD=?h)AC=9,BC=5,ED=12,CD=?i)ED=8,DC=4,FC=?j)FC=6,ED=9,CD=?
Given concentric circles with center O, ABC is inscribed in the larger circle, as shown. If BC is tangent to the smaller circle at point T and AB=8, find the length of the radius of the smaller circle.
In Review Exercises 15 to 22, state whether the statements are always true A, sometimes true S, or never true N. Tangents to a circle at the endpoints of a diameter are parallel.

Recommended textbooks for you

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

SEE MORE TEXTBOOKS

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.