The comparison of the properties of parallelograms, rectangles, rhombi and squares.
Explanation of Solution
The properties of parallelogram are:
- The opposite sides are parallel;
- The opposite sides are congruent;
- The diagonals bisect one another;
- The consecutive
angles are supplementary.
The properties of rectangle are:
A rectangle has all the properties of a parallelogram and also has some distinct properties.
Some different properties of rectangle are:
- The angles are right angles;
- The diagonals are congruent.
The properties of rhombi are:
A rhombus has all the properties of a parallelogram and also has some distinct properties.
Some different properties of rhombus are:
- The diagonals are perpendicular;
- All four sides are congruent.
The square has all the above properties.
Chapter 6 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