To calculate:
The figure represented by the following coordinates is trapezoid, parallelogram, square, rhombus or quadrilateral:
Answer to Problem 60PPS
The figure is parallelogram
Explanation of Solution
Given information:
Calculation:
First graph all the points as:
Now, calculate the slopes of all sides:
Here, slopes of each pair opposite sides are equal so, one can say that two pairs of the opposite sides are parallel which results that the quadrilateral is parallelogram.
Now, calculate the length of the parallelograms by using the distance formula:
The quadrilateral is parallelogram as no consecutive sides are congruent.
Chapter 6 Solutions
Geometry, Student Edition
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