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a.
To show that EFGH is a rhombus.
a.
![Check Mark](/static/check-mark.png)
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.
![Check Mark](/static/check-mark.png)
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
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