A parallelogram has vertices A(0, 4), B(2, 2), C(4, 4), and D(2,6). Is this parallelogram a square? Explain why or why not.

  is a square

Step-by-step explanation:

AC is a horizontal line of length 4 and midpoint (2, 4).

BD is a vertical line of length 4 and midpoint (2, 4).

The diagonals are the same length, have the same midpoint, and cross at right angles. The parallelogram is a square.

The diagonals of a rectangle are the same length and have the same midpoint. The diagonals of a rhombus have the same midpoint and cross at right angles. A rectangle that is a rhombus is a square.

The midpoint of a segment with end coordinates (x1, y1) and (x2, y2) is ...

  midpoint = ((x1 +x2)/2, (y1 +y2)/2)

The length of a horizontal or vertical line segment is the difference of the coordinates that are different. For AC, it is 4-0 = 4; for BD, it is 6-2 = 4.

answer:  

123455421

step-by-step explanation: easy