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 22WE
The coordinates of the fourth vertex is G(0,3)
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 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 G (0,3) and the resulting quadrilateral is a rectangle itself. It cannot be a square since the sides are not equal.
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