Concept explainers
a.
To calculate:
The diagonals halfway of the given figure if diagonals of
a.
Answer to Problem 30PPS
The diagonals halfway of the given figure if diagonals of
Explanation of Solution
Given information:
Formula used:
The distance formula is given by the following expression:
Calculation:
From the given graph of the parallelogram with the vertices, understands that:
The diagonal halfway lengths are calculated by using the distance formula as:
From the above calculations:
(Since diagonals bisect each other)
b.
To explain:
The diagonals of
b.
Answer to Problem 30PPS
The diagonals of are not congruent since diagonals of
Explanation of Solution
Given information:
From sub-part (a):
The diagonals of
Know that:
If the diagonals of the parallelogram are of same measure only then it can be said that it’s The diagonals are congruent in nature.
Here, two diagonals
So,
Hence, the diagonals of
c.
To explain:
The slopes of two perpendicular lines are negative reciprocals of each other or not.
c.
Answer to Problem 30PPS
The slopes of two perpendicular lines are not negative reciprocals of each other.
Explanation of Solution
Given information:
From the given graph of the parallelogram with the vertices, understands that:
Know that:
The slope formula is given by the following expression:
Now, find the slope values of two perpendicular lines
Here, slopes are
These are not negative reciprocals of each other.
Chapter 6 Solutions
Geometry, Student Edition
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