Whether the given information is enough for the landscaper to be sure that the garden is a square.
Answer to Problem 18PPS
The given information is not enough.
Explanation of Solution
Given:
Landscaper has said that each side of quadrilateral formed by stakes is congruent and diagonals are perpendicular.
Calculation:
Rhombus is a quadrilateral that has 4 congruent sides. Hence, the given quadrilateral can be classified as a rhombus.
The given information that diagonals are perpendicular is of no use.
For a quadrilateral to be a square, it must be a rectangle. If there would have been the information stating that the diagonals of the rhombus are congruent, then it would have been a rectangle. But this information is not given.
Hence, the given information is not enough to be confirmed that the garden is a square.
Chapter 6 Solutions
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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