(a)
To find: quadrilateral ABCD a parallelogram.
(a)
Answer to Problem 29E
Hence, the quadrilateral is a parallelogram.
Explanation of Solution
Given:
Calculation:
Consider a quadrilateral with vertices
The objective is to determine whether the quadrilateral is parallelogram or not.
Find the slopes of the lines joining the vertices
Now, the slopes of the lines joining the vertices
Again, the slopes of the lines joining the vertices
The slopes of the lines joining the vertices
The slopes of the opposite side
Hence, the quadrilateral is a parallelogram.
Conclusion:
Hence, the quadrilateral is a parallelogram.
(b)
To find: quadrilateral ABCD a rectangle.
(b)
Answer to Problem 29E
Hence, the quadrilateral is not a rectangle.
Explanation of Solution
Given:
Calculation:
The objective is to determine whether the quadrilateral is rectangle or not.
Since the adjacent sides
Hence, the quadrilateral is not a rectangle.
Conclusion:
Hence, the quadrilateral is not a rectangle.
Chapter 4 Solutions
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