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
- Note: 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_forwardWhich type of path straight, curved, circular or scattered is determined by: a pepper sprinkled on a steak? b a Ferris wheel? c a rule? d the path of a snake?arrow_forwardIn 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_forward
- Determine whether ABC, with vertices A0,0,0, B1,2,4, and C0,0,8, is an isosceles triangle.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_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_forward
- In trapezoid RSTV of Exercise 13, RSVT and MN is the median, Find x if VT=2x+9,MN=6x13,andRS=15. Exercise 13, 14arrow_forwarda Which of these (AB,AB,orAB) represents the length of the line segment AB? b Which (mCBA, mCAB,or, mBAC) represents the measure of mABCarrow_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
- Exercises 3840 In the box shown for Exercise 38, use intuition to answer each question. a Are AB and DC parallel? b Are AB and FE skew line segments? c Are AB and FE perpendicular?arrow_forwardNote: Exercises preceded by an asterisk are of a more challenging nature. a In the figure, are lines a, b, and c concurrent? b If one exists, name the point of concurrence for lines a, b, and c.arrow_forwardDetermine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c = 2.5 b a= 20, b= 21 and c = 29 c a=10, b= 12, and c =16 d a= 5, b= 7 and c = 9arrow_forward
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