To classify: The type of quadrilateral.
Answer to Problem 46HP
The type of quadrilateral cannot be defined.
Explanation of Solution
From the given information, two diagonals are congruent, and two opposite sides are congruent. No other information is provided. Hence, it is impossible to classify the quadrilateral.
The author wants the student to classify the quadrilateral as an isosceles trapezoid. An isosceles trapezoid has two congruent diagonals and two congruent legs, which satisfies the given information.
However, this result cannot be logically drawn from the given information.
Chapter 7 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