Question

Freddy drew a plan for a rectangular piece of material that he will use for a blanket. Three of the vertices are ​(−3.7​,−3.5​), ​(−3.7​,3.9​), and ​(2.2​,3.9​). What are the coordinates of the fourth​ vertex?

1. ( 2.1, -3.6) is the coordinates of the fourth vertex.

### What are coordinates?

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such as Euclidean space.
So, define the missing coordinates as such (a,b).
Let’s use the midpoint formula to find the incorrect coordinate now.
The point of reference should be (-2.3, 3.6) A.
Point B should be (2.3, 2.2).
(2.1, 2.2) Make C the focal focus.
At BD, AC’s center should be.
Step 1: Find the center of the AC.
Center point of AC:
(-2.3 + 2.1/2), (-3.6 + 2.2/2)
(0.2/2), (1.4/2)
(-0.1, -0.7)
In step two, let’s compare the midpoints.
The BD halfway point:
(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)
(a + -2.3/2) = -0.1
(a -2.3/2) = -0.1*2
a = -0.2+2.3
a = 2.1
(b + 2.2/2) = -0.7
b + 2.2 = -0.7*2
b + 2.2 = -1.4
b = -1.4 -2.2
b = -3.6
Therefore, ( 2.1, -3.6) is the coordinates of the fourth vertex.
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Complete question:
Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?