Question

ABCD is a rectangle with coordinates: B(-4, 6), C(-4, 2), and D(10, 2). Find the coordinates of point A.

Answer 1

To find the coordinates of point A in the rectangle ABCD, you can use the properties of a rectangle. In a rectangle, opposite sides are equal in length and parallel to each other.

Step-by-step explanation:

To find the coordinates of point A in the rectangle ABCD, we need to use the properties of a rectangle. In a rectangle, opposite sides are equal in length and parallel to each other.

Since the y-coordinates of points B and C are the same, we can conclude that the length of side AD is equal to the y-coordinate difference between points B and D. Therefore, we can find the y-coordinate of point A by adding the y-coordinate difference between points B and D to the y-coordinate of point B.

Similarly, since the x-coordinates of points B and D are the same, we can conclude that the length of side AB is equal to the x-coordinate difference between points B and C. Therefore, we can find the x-coordinate of point A by subtracting the x-coordinate difference between points B and C from the x-coordinate of point B.

Using the given coordinates, the x-coordinate of point A is: -4 - (-4) = 0.

And the y-coordinate of point A is: 6 + (2 - 6) = 2.