Concept explainers
To find: whether the points
Answer to Problem 13SGA
The given points are the vertices of a parallelogram.
Explanation of Solution
Given information:
The points
To show the points
Thus,
Since, the sides
Now,
To determine
Slope of side
Here,
Substitute the value in the given formula,
Similarly the Slope of side
Since the slopes are equal. Therefore,
To determine the opposite sides
Substitute the values in the given formula,
The measures of opposite sides
Now,
The measures of sides
Now, the length of the diagonal is,
Similarly, the length of
Since, the diagonal
Therefore, the given points are the vertices of a parallelogram.
Chapter 10 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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