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Are these points collinear?
a)
b)
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Chapter 10 Solutions
Elementary Geometry for College Students
- In Exercises 9 to 28, use the drawings as needed to answer the following questions. Points A, B, C, and D are coplanar; B, C, and D are collinear; point E is not in plane M. How many planes contain a points A, B, and C? b points B, C, and D? c points A, B, C, and D? d points A, B, C, and E?arrow_forwardNote: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of the points A,B,C,D, and E belong to the locus of points in the plane that are at distance r from point P?arrow_forwardLet A, B, and C lie on a straight line as shown near Exercise 8. Classify these claims as true or false. a B lies between A and C. b AB is a ray with endpoint B.arrow_forward
- In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._arrow_forwardIn the drawing, ABDCEF with transversals l and m. If D and C are the midpoints of AE and BF, respectively, then is trapezoid ABCD similar to trapezoid DCFE?arrow_forwardNote: Exercises preceded by an asterisk are of a more challenging nature. In the figure, which of the points E,F,G,H, and K belong to the locus of points in the plane that are at distance r from line l?arrow_forward
- Consider regular pentagon RSTVQ not shown. Given that diagonals QT and VR intersect at point F, show that VFFR=TFFQ.arrow_forwardReview Exercises In Review Exercises 22 to 24, M and N are the midpoints of FJ- and FH- respectively. Given: JH=12 mJ=80 mF=60 Prove: MN,mFMN,mFNMarrow_forwardIn the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.arrow_forward
- Prove the statements in Review Exercises 32 to 36 using analytic geometry. If the diagonals of a trapezoid are equal in length, then the trapezoid is an isosceles trapezoid.arrow_forwardIn Exercises 25 to 28, ABCDBE Exercises 25-28 Given: AC = 10, CB = 12. E is the midpoint of CB Find: DEarrow_forwardProve the statements in Review Exercises 32 to 36 using analytic geometry. If the diagonals of a rectangle are perpendicular, then the rectangle is a square.arrow_forward
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning