6,3 6,5 8,3 what are the coordinates of the fourth vertex
I'd guess (8,5)
but that's without knowing what shape you're after ...
To determine the coordinates of the fourth vertex, we need to find the missing coordinate.
Let's call the missing coordinate (x, y).
Since the given coordinates (6, 3), (6, 5), and (8, 3) form a triangle, the fourth vertex must be connected to one of these points with a side of the triangle.
To determine which point it is connected to, we need to look for a side with the same x or y coordinate.
Looking at the given coordinates, we can see that (6, 3) and (6, 5) have the same x coordinate (6).
So, the missing coordinate is connected to the point (6, 3) or (6, 5).
Therefore, we can say that the coordinates of the fourth vertex are either (6, 3) or (6, 5).
To determine the coordinates of the fourth vertex, we need to identify the shape for which these three coordinates are the vertices. Since only three coordinates are given, there could be multiple shapes that could have these vertices.
Let's assume that the given coordinates are the vertices of a quadrilateral (a four-sided polygon). In that case, the fourth vertex would complete the quadrilateral. To find this vertex, we can use the properties of quadrilaterals.
One of the key properties of a quadrilateral is that the opposite sides are equal in length. By examining the given coordinates, we can find two sides of the quadrilateral.
The distance formula can be used to find the length of each side. The distance between two points (x1, y1) and (x2, y2) is given by the formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can find the lengths of the sides using the given coordinates:
Side 1: Distance between (6,3) and (6,5)
d1 = sqrt((6 - 6)^2 + (5 - 3)^2) = sqrt(0 + 4) = 2
Side 2: Distance between (6,3) and (8,3)
d2 = sqrt((8 - 6)^2 + (3 - 3)^2) = sqrt(4 + 0) = 2
Now that we know the lengths of the two sides, we need to find the lengths of the remaining two sides to identify the shape. However, with only three vertices given, we don't have enough information to determine these lengths.
Based on the given information, it seems that there might be a missing coordinate or some additional information required to accurately determine the coordinates of the fourth vertex.