Prove that the following four points will form a rectangle when connected in order. A(0, -3), B(-4, 0), C(2, 8), D(6, 5) Step 1: Plot the points to get a visual idea of what you are working with.
Since the diagonals of a rectangle are congruent MO = 26. Finding length of MZ. To find MZ, you must remember that the diagonals of a parallelogram bisect each other.(Remember a rectangle is a type of parallelogram so rectangles get all of the parallelogram properties) If MO = 26 and the diagonals bisect each other, then MZ = ½(26) = 13. A rectangle is a four-sided flat shape where every angle is a right angle (90°).
The online calculator below calculates the area of a rectangle, given coordinates of its vertices. In fact, the calculation is quite generic, so it can also calculate the area of parallelogram, square, rhombus, trapezoid, kite, etc., that is, the area of any convex quadrilateral.
Enter the set of points into the calculator below - one point per line, with x and y coordinates separated by a semicolon. The calculator builds a convex hull, using Jarvis march, then calculates four sides of the hull and one diagonal between the hull's first and third points. Then the calculation is trivial. Here, for example, a quadrilateral is split by diagonal into two triangles, and the area of each triangle then calculated using the Heron formula.