a.
To find:The coordinates of the midpoints
a.
Answer to Problem 21WE
Coordinates of points are
Explanation of Solution
Given information:In figure,points
Formula Used:The midpoint of segment joining the points
Calculation:
Since,
So, coordinates of point
Since,
So, coordinates of point
Since,
So, coordinates of point
Since,
So, coordinates of point
Hence, coordinates of points are
b.
To find:What kind of figure is
b.
Answer to Problem 21WE
Explanation of Solution
Given information:Obtained from part a:
Formula used: The distance between two points
Theslope of a line passing through point
Concept used: In a quadrilateral if one pair of opposite sides are both congruent and parallel then it is a parallelogram.
Calculation:
Here, sides
Since, length of
So, sides
Since, slopes of
So, sides
Since, one pair of opposite sides are both congruent and parallel.
Hence,
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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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