a) parallel lines
b) intersecting lines
c) skew lines
d) lines
e) points A, B, and F?
f) points A, C, and H?
g) points A, C, F, and H?
Exercises
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Chapter 1 Solutions
Elementary Geometry for College Students
- In the drawing, ABDCEF. Suppose that transversals l and m are also parallel. D and C are the midpoints of AE and BF, respectively. If parallelogram ABCD similar to parallelogram DCFE?arrow_forwardUse drawings, as needed, to answer each question. Does the relation is parallel to have a areflexive property? consider a line m bsymmetric property? consider lines m and n in a plane ctransitive property? consider coplanar lines m, n, and qarrow_forwardExercises 3940 In the box shown for Exercise 38, use intuition to answer each question. a Are AG and BC skew line segments? b Are AG and BC congruent line segments? c Are GF and DC parallel?arrow_forward
- In Exercises 27-30, use the definition of a parallelogram to Complete each proof. Given: WX-ZY- and s Z and Y are supplementary Prove: WXYZ is a parallelogram PROOF Statements Reasons 1. WX-ZY- 1.? 2.? 2.Given 3.? 3.If two lines are cut by a transversal so that interior s on the same side of the transversal are supplementary, these lines are 4.? 4.If both pairs of opposite side of a quadrilateral are , the quadrilateral is aarrow_forwardIn the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.arrow_forwardDescribe the auxiliary line segment as determined, overdetermined, or underdetermined. a) Through vertex B of ABC, draw ABAC. b) Draw the line that contains A, B, and C. c) Draw the line that contains M, the midpoint of AB.arrow_forward
- In O, chord AB chord CD. Radius OE is perpendicular to AB and CD at points M and N, respectively. If OE=13, AB=24, and CD=10, then the distance from O to CD is greater than the distance from O to AB. Determine how much farther chord CD is from center O than chord AB is from center O; that is, find MN.arrow_forwardIn Exercises 27-30, use the definition of a parallelogram to complete each proof. Given:RS-VT-, RV-VT-, and ST-VT- Prove: RSTV is a parallelogram PROOF Statements Reasons 1. RS-VT- 1.? 2.? 2.Given 3.? 3.If two lines are to the same line, they are , to each other 4.? 4.If both pairs of opposite side of a quadrilateral are , the quadrilateral is aarrow_forwardNote: Exercise preceded by an asterisk are of a more challenging nature. a In the figure, are lines m, n, and p concurrent? b If one exists, name the point of concurrence for lines m, n, and p.arrow_forward
- Does the relation is perpendicular to have a reflexive property consider line l? A symmetric property consider lines l and m? A transitive property consider lines l, m and n?arrow_forwardIn Exercises 17 and 18, consider with VX- RS- and VY- ST-. a Which line segment is the altitude of with respect to base RS-? b Which number is the height of with respect to base RS-?arrow_forwardIn the accompanying figure, m2=68, m8=112, and m9=110. a.Which lines r and s OR l and m must be parallel? ___________ b Which pair of lines r and s OR l and m cannot be parallel? ___________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 LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL