To find the vertex of the fourth side of the parallelogram, whose vertices for other sides are
Answer to Problem 13.8EX
Option (c)
Explanation of Solution
Given information: Vertices of the parallelogram are
Concept used:
In parallelogram, opposite sides are equal and parallel.
That is, the slope of the opposite lines are equal and to find the distance between the points, distance formula is defined as:
The distance between the points
The slope between the points
Let ABCD be the vertices of the parallelogram with vertices as
For a parallelogram, the slope of AB = CD and the slope of BC = AD
and
Hence, the coordinates of the fourth vertices is
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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