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Elementary Geometry for College Students
- 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.arrow_forwardIn Exercises 46 to 49, 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 298. NOTE: The major arc is also bisected by the line.arrow_forwardIn Review Exercises 5 to 10, BA is tangent to the circle at point A in the figure shown. mD=40,mDC=130,mB=?arrow_forward
- In Review Exercises 5 to 10, BA is tangent to the circle at point A in the figure shown. mB=25,mAD=140,mDC=?arrow_forwardCircles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible, explain what type of triangle PQO is if: a OX=2,PY=3,QZ=1 b OX=2,PY=3,QZ=2arrow_forwardIn 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.arrow_forward
- 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.arrow_forwardFor Exercises 39 to 44, make drawings as needed. Two tangent segments are drawn to sphere Q from external point E. Where A and B are the points of tangency on sphere Q, how are EA- and EB- related?arrow_forwardIn Review Exercises 15 to 22, state whether the statements are always true A, sometimes true S, or never true N. In a circle, congruent chords are equidistant from the center.arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning