a.
To check: Whether the given quadrilateral is a parallelogram.
a.
Answer to Problem 29E
Given quadrilateral is a parallelogram.
Explanation of Solution
Given information: We are given the vertices of a quadrilateral A
Calculation: Slope of AB
Slope of BC
Slope of CD
Slope of DA
Now slope of AB
Slope of BC
Therefore AB is parallel to CD and BC is parallel to DA.
Therefore ABCD is a parallelogram.
As the required line is parallel to given line so slope is equal.
So slope of required line is
Equation of required line is:
Thus Equation of required line is
b.
To write: An equation of the line that passes through the given point and is perpendicular to given line.
b.
Answer to Problem 29E
Equation of required line is
Explanation of Solution
Given information: Given point is
Calculation: As line is passing through the points
Therefore slope of line is
Let Slope of required line is
As the required line is perpendicular to given line.
Equation of required line is:
Thus Equation of required line is
Chapter 4 Solutions
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