Concept explainers
(a)
To locate the five coordinates from the locus of points equidistance from A and B.
(a)
Explanation of Solution
Given:
Consider the figure provided in the textbook
Calculation:
Then, choose 5 points equidistance from the points A and B is
(b)
To represent the locus of the five coordinates from the locus of points equidistance from on the graph
(b)
Explanation of Solution
Given:
Consider the figure provided in the textbook
Calculation:
Then, join the points that are equidistance by from A and B (marked as red)
Therefore, the above is the required locus of points
(c)
To describe the locus of all points equidistant pair of points
(c)
Explanation of Solution
Given:
Consider the figure provided in the textbook
Calculation:
Therefore, the locus of the points that are equidistance from the points A and B is the perpendicular bisectors of the line segment
(d)
To graph the locus of the all points in a plane at a distance of AB from B.
(d)
Explanation of Solution
Then, the locus of the points at a distance AB from B is
Hence, above is the required graph for the locus of the points at a distance AB from B.
(e)
To describe the locus of all points in a plane equidistant from a single point
(e)
Explanation of Solution
Since, all the points in a plane are at equidistance
And the locus of the all points that are both equidistance from A and B are at a distance of AB from B is line parallel to the line segment AB and also x-axis.
Now, the required graph is
Chapter 10 Solutions
Geometry, Student Edition
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- 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 Learning