To find: Whether the quadrilateral with vertices at points (−1,−2),(5,−4),(4,1) and (−5,4) is a parallelogram.

Expert Solution & Answer

Answer to Problem 55E

It is not a parallelogram

Explanation of Solution

Given information: The quadrilateral with vertices at points (−1,−2),(5,−4),(4,1) and (−5,4)

Calculation:

There are many rules for parallelograms,

Opposite sides must be both equal in length and parallel.

Therefore, we can find the slopes of opposite sides or the lengths to compare.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 10.3, Problem 55E

Slope of AB:1−(−4)4−5=−5Slope of CD:−2−4−1−(−5)=−32

Since the slopes of opposite sides are NOT parallel,

Then this is NOT a parallelogram.

Chapter 10.3, Problem 54E

Chapter 10.3, Problem 56E

Chapter 10 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 10.1 - Prob. 1CFU Ch. 10.1 - Prob. 2CFU Ch. 10.1 - Prob. 3CFU Ch. 10.1 - Prob. 4CFU Ch. 10.1 - Prob. 5CFU Ch. 10.1 - Prob. 6CFU Ch. 10.1 - Prob. 7CFU Ch. 10.1 - Prob. 8CFU Ch. 10.1 - Prob. 9CFU Ch. 10.1 - Prob. 10CFU

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