# The vertices of the rectangle ABCD have coordinates (-1, -3) (5, -3) (5,2) (-1,2), respectively. Find the abscissa

August 22, 2021 | education

| **The vertices of the rectangle ABCD have coordinates (-1, -3) (5, -3) (5,2) (-1,2), respectively. Find the abscissa of the intersection point of the diagonals of this rectangle.**

To solve the problem, you need to find the midpoint of any diagonal.

Let it be BD (5, -3) (-1,2).

The middle of the side is found as follows: (5 + (1) / 2, – 3 + 2 \\ 2).

Then it turns out: the coordinates of the midpoint of the diagonal (2, -0.5).

We need the abscissa, that is, the x coordinate, and this is 2.

Answer: 2.

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