Problem

Quiz 1 ou are graphing square $A B C D$ in the coordinate plane. The following re three of the vertices of the square: $A(4,-7), B(8,-7)$, and $(8,-3)$ /hat are the coordinates of point $D ?$

Solution

Step 1 :The given points form a square. We know that in a square, all sides are equal. We can use this property to find the fourth point.

Step 2 :The points A and B have the same y-coordinate, which means they lie on the same horizontal line.

Step 3 :Similarly, points B and C have the same x-coordinate, which means they lie on the same vertical line.

Step 4 :Therefore, the fourth point D should have the same y-coordinate as C (since D and C should lie on the same horizontal line) and the same x-coordinate as A (since D and A should lie on the same vertical line).

Step 5 :A = (4, -7), B = (8, -7), C = (8, -3), D = (4, -3)

Step 6 :Final Answer: The coordinates of point D are \(\boxed{(4, -3)}\).

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Source: https://solvelyapp.com/problems/16844/

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