Question

the coordinates of three of the vertices of a rectangle are (2,-5),(7,-5) and (7,-2) .plot these points on a graph paper.conplete the rectangle and find the coordinates of the fourth vertex
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Answer 1

Answer:

fourth vertex of rectangle is (2,-2).

Step-by-step explanation:

Given,

the coordinates of three of the vertices of a rectangle are (2,-5),(7,-5) and (7,-2).

The points are plotted in the graph attached.

When we complete the rectangle we find points (7,-5) and (7,-2) are 3 units away.

and we know that in a rectanlge opposite sides are equal and parallel. so the unknown point and (2,-5) should also be 3 unit away.

so, 3 units above (2,-5) we find the co-ordinate of points as (2,-2).

Therefore, fourth vertex of rectangle is (2,-2).