To plot: the coordinates of three vertices of rectangle and to find the coordinates of the fourth vertex.
Also to check if the resulting figure is a rectangle or a square.
Answer to Problem 20WE
The coordinates of the fourth vertex is Q(2,5)
The resulting figure is a rectangle
Explanation of Solution
Given Information:The coordinates of three verticesof a rectangle
Graph:
Based on the three given points
Interpretation: It has been specified that, the three given vertices are that of a rectangle and it is been plotted as in the above figure. So, based on the property of rectangle, every
As visible from the graph, the fourth vertex has to be Q(2,5)and the resulting quadrilateral is a rectangle itself. It cannot be a square since the sides are not equal.
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McDougal Littell Jurgensen Geometry: Student Edition Geometry
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