The points A(5, 3), B(–2, 3), and D(5, –4) are three vertices of square ABCD. Find the coordinates of vertex C.

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Solution

Marking the given points in the xy-plane we get:
As we can observe the distance between each point is 7 units. To make it a square the x coordinate of the point must be -2 to be of the same level and the y coordinate must be -4.
Thus the coordinates of vertex C must be (-2, -4)

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Question 1
Points A(5, 3) B(-2, 3) and D(5, -4) are three vertices of a square ABCD. Plot these points on a graph paper and hence, find the coordinates of the vertex C.

Q. Points A(5, 3) B(-2, 3) and D(5, -4) are three vertices of a square ABCD. Plot these points on a graph paper and hence, find the coordinates of the vertex C.

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The points A(5, 3), B(–2, 3), and D(5, –4) are three vertices of square ABCD. Find the coordinates of vertex C.

Marking the given points in the xy-plane we get: As we can observe the distance between each point is 7 units. To make it a square the x coordinate of the point must be -2 to be of the same level and the y coordinate must be -4. Thus the coordinates of vertex C must be (-2, -4)

Marking the given points in the xy-plane we get:
As we can observe the distance between each point is 7 units. To make it a square the x coordinate of the point must be -2 to be of the same level and the y coordinate must be -4.
Thus the coordinates of vertex C must be (-2, -4)