Concept explainers
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 21WE
The coordinates of the fourth vertex is
The resulting figure is a rectangle
Explanation of Solution
Given Information:The coordinates of three verticesof a rectangle
Graph: The coordinates of the three vertices are as shown in the graph below.Since the three given points are part of a rectangle, the fourth point must have coordinates in a way to complete the rectangle. The coordinates of the last point are also shown in the graph.
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 is the intersection point of the perpendiculars from both points D and B and it has to be
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