Answer:
If we take the adjacent side AD and DC and work out their slopes we get
AD = (6-4)/(2-0) = 1 and DC has slope (6-4)/(2-4) = -1 . This shows that the angle between the 2 lines is 90 degrees so it looks like this is a square. If you include the slopes of each adjacent line they are at right angles too. Now to prove its a square each line must be of equal length and you'll find this is the case too
Answer:
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.
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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.
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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.
