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?

Answers

( 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.

Know more about coordinates here:

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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?

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