a.
To show that EFGH is a rhombus.
a.
Explanation of Solution
Given information: The points
Proof: The required proof is obtained as,
Distance of
Distance of
Distance of
Distance of
All sides are congruent.
Now, find the slopes,
Both pairs of opposite sides are parallel.
Therefore, it is Rhombus.
Hence, EFGH is a rhombus.
b.
To show that diagonals are perpendicular, by using slopes.
b.
Explanation of Solution
Given information: The points
Proof: The required proof is obtained as,
Slopes of diagonals,
So, EG and FH are perpendicular.
Hence, the diagonals EG and FH are perpendicular.
Chapter 13 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
Excursions in Modern Mathematics (9th Edition)
Mathematics All Around (6th Edition)
Essentials of Statistics (6th Edition)
College Algebra (6th Edition)
College Algebra
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- 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