The graph of each quadrilateral with given vertices.
Answer to Problem 24PPS
It is a rectangle.
Explanation of Solution
Given:
The vertices are:
Calculation:
The graph will be:
The opposite sides of a parallelogram are congruent.
The length of QR is:
The length of RS is:
The length of ST is:
The length of QT is:
As, QR = ST and RS = QT, the opposite sides are congruent.
Hence, QRST is a parallelogram.
Also, when the diagonals of a parallelogram are congruent, then it is a rectangle.
The length of QS is:
The length of RT is:
As, QS = RT, the diagonals are congruent.
Hence, it is a rectangle.
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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