McDougal Littell Jurgensen Geometry: Student Edition Geometry
5th Edition
ISBN: 9780395977279
Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Publisher: Houghton Mifflin Company College Division
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Chapter 10.8, Problem 5ST3
To determine
Find the locus of all the points in the plane of two parallel lines s and t , equidistant from s and t , and 4 cm from a particular point A in the plane .
Expert Solution & Answer
Answer to Problem 5ST3
Two points , one point or no point.
Explanation of Solution
Calculation:
The locus of all the points in plane of two parallel lines s and t is the line parallel to both and in between s and t :
The locus of all the points in plane that are 4 cm from point A in the plane is
So, the locus of all the points in the plane of two parallel lines s and t , equidistant from s and t , and 4 cm from a particular point A in the plane will be intersection of above two cases.
So, it can be two points , one point , or no point , depending on various cases of location of A and distance between the lines s and t.
For example:
If distance between the lines s and t is 8 cm.
Case I: A lie on any lines s or t .
The locus of all the points in the plane of two parallel lines s and t , equidistant from s and t , and 4 cm from a particular point A in the plane is one point .
Case II: A is in between lines s and t .
The locus of all the points in the plane of two parallel lines s and t , equidistant from s and t , and 4 cm from a particular point A in the plane are two points .
Case III: A is neither in between nor on lines s and t .
The locus of all the points in the plane of two parallel lines s and t , equidistant from s and t , and 4 cm from a particular point A in the plane is no point .
Chapter 10 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Ch. 10.1 - Prob. 1CECh. 10.1 - Prob. 2CECh. 10.1 - Prob. 3CECh. 10.1 - Prob. 4CECh. 10.1 - Prob. 5CECh. 10.1 - Prob. 6CECh. 10.1 - Prob. 1WECh. 10.1 - Prob. 2WECh. 10.1 - Prob. 3WECh. 10.1 - Prob. 4WE
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Prob. 4ST1Ch. 10.3 - Prob. 5ST1Ch. 10.3 - Prob. 6ST1Ch. 10.3 - Prob. 7ST1Ch. 10.3 - Prob. 8ST1Ch. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 1MRECh. 10.3 - Prob. 2MRECh. 10.3 - Prob. 3MRECh. 10.3 - Prob. 1EXCh. 10.3 - Prob. 2EXCh. 10.4 - Prob. 1CECh. 10.4 - Prob. 2CECh. 10.4 - Prob. 3CECh. 10.4 - Prob. 4CECh. 10.4 - Prob. 5CECh. 10.4 - Prob. 6CECh. 10.4 - Prob. 7CECh. 10.4 - Prob. 1WECh. 10.4 - Prob. 2WECh. 10.4 - Prob. 3WECh. 10.4 - Prob. 4WECh. 10.4 - Prob. 5WECh. 10.4 - Prob. 6WECh. 10.4 - Prob. 7WECh. 10.4 - Prob. 8WECh. 10.4 - Prob. 9WECh. 10.4 - Prob. 10WECh. 10.4 - Prob. 11WECh. 10.4 - Prob. 12WECh. 10.4 - Prob. 13WECh. 10.4 - Prob. 14WECh. 10.4 - Prob. 15WECh. 10.4 - Prob. 16WECh. 10.4 - Prob. 17WECh. 10.4 - Prob. 18WECh. 10.4 - Prob. 19WECh. 10.4 - Prob. 20WECh. 10.4 - Prob. 21WECh. 10.5 - Prob. 1CECh. 10.5 - Prob. 2CECh. 10.5 - Prob. 3CECh. 10.5 - Prob. 4CECh. 10.5 - Prob. 5CECh. 10.5 - Prob. 6CECh. 10.5 - Prob. 7CECh. 10.5 - Prob. 8CECh. 10.5 - Prob. 9CECh. 10.5 - 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