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Chapter 6 Solutions
Elementary Geometry For College Students, 7e
- 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=?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_forwardSuppose 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?arrow_forward
- Given that CF is a tangent to the circle shown: a)mAB=80,mAEB=75,mCD=?b)mAC=62,mDEB=45,mBD=?c)mAB=88,mP=24,mCED=?d)mCED=41,mCD=20,P=?e)mAEB=65,mP=25,mAB=?,mCD=?f)mCED=50,mAC+mBD=?arrow_forwardGiven circle O with mBC=120, and mAC=130. a Which angle of triangle ABC is smallest? b Which side of triangle ABC is nearest point O?arrow_forwardA, C and F are three of the vertices of the cube shown in the accompanying figure. Given that each face of the cube is a square, what is the measure of angle ACF?arrow_forward
- Suppose that a circle is divided by points A,B,C, and D into four congruent arcs. What is the measure of each arc? If these points are joined in order, what type of quadrilateral results?arrow_forwardA tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?arrow_forwardIn triangle ABC, line t is drawn through vertex A in such a way that tBC. aWhich pairs of s are ? bWhat is the sum of m1, m4, and m5 ? cWhat is the sum of measures of the s of ABC ?arrow_forward
- Refer to the following figure in answering Exercises 7 through 13. It may be helpful to sketch figures. When 1 is slightly greater than 0: a. How does side y compare to side r? b. How does side x compare to side r? c. How does side x compare to side y?arrow_forwardA carpenter joins four boards of lengths 6 ft, 6 ft, 4 ft, and 4 ft, in that order, to form quadrilateral ABCD as shown. a What type of quadrilateral is formed? b How are angles B and D related?arrow_forwardIn Exercises 29 to 32, use the fact that triangles are similar. Rhydian while walking away from a 10-ft lamppost casts a shadow 6 ft long. If Rhydian is at a distance of 10 ft from the lamppost at that moment, what is Rhydians height?arrow_forward
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