Does the relation "is parallel to" have aa) reflexive property? (consider a line m)b) symmetric property? (consider lines m and n in a plane)c) transitive property? (consider coplanar lines m, n, and q)

a) Every line is parallel to itself. Consider a line m which is parallel to itself. Hence, the…

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Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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the length of the Line sey ment joining the wo Points of intersection With the wo levels of two Coordinates えるっとと be
3) Find the distances: a. Between ?1 = 〈3 + ?, −2 + 3?, −?〉 and ?2 = 〈1 + 2?,?, 5 + 4?〉. b. Between the planes −2? + 5? − 3? = 2 and −2? + 5? − 3? = 12. c. From the point (2, 2, 2) to the line ? = 〈3?, −3 + ?, 5 − 4?〉.
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ron #7 Which pair of lines are perpendicular? RETURN TO MAIN MENU A) 8x-4y = 24; y = -2x + 7 a boat B) x-3y = 15; y = 3x + 4 15; y 3x + 4 a plane GO TO C) 2r – 5y = 5; 5x – 2y = 4 a hot-air balloon RESPONSES D) x +y = 10; x - y= 3 a tank E) 5x-y = 1;y= 1/5x + 9 a fire truck %23
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In 2D, which pair of lines are parallel? A) x + 7y-2 = 0 and 7 = [2, 5] + s[1,7] B) 3x - 4y - 2 = 0 and 7 = [1,4] + s[−3,4] C) 2x + 2y + 2 = 0 and ♬ = [1, 2] + s[1,−1] OD) x+3y-1 = 0 and F = [1, 0] + s[−1, 2]
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Does the relation "is parallel to" have a a) reflexive property? (consider a line m) b) symmetric property? (consider lines m and n in a plane) c) transitive property? (consider coplanar lines m, n, and q)