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lawyer [7]
3 years ago
11

Charles 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?
Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer:

The coordinates of the fourth​ vertex is ( 2.1 , -3.6)

Step-by-step explanation:

Given:

The vertices are  ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​).

To Find :

The fourth coordinate = ?

Solution:

Let (a,b) be the missing coordinates

Now let us use the the mid point formula and find the missing coordinate.

Let  ​( -2.3 ,−3.6​) be the point A

Let  ​​(−2.3​,2.2​) be the point B

Let  ​ ​(2.1​, 2.2​​) be the point C

The mid point of AC should be BD

Step 1: Finding The mid pint of AC

The mid pint of AC

(\frac{(-2.3+2.1)}{2} , \frac{(-3.6+2.2)}{2})

(\frac{(-0.2)}{2} , \frac{(-1.4)}{2})

(-0.1, -0.7)

Step 2: Lets Equate the midpoints'

The mid pint of BD

=>(\frac{(a+(-2.3))}{2} , \frac{(b+2.2)}{2}) =  (-0.1, -0.7)

\frac{(a+(-2.3))}{2} = -0.1

(a-2.3) = -0.1 \times 2

(a-2.3) = -0.2

a = -0.2 +2.3

a = 2.1

\frac{(b+2.2)}{2} = -0.7

(b+2.2)= -0.7 \times 2

(b+2.2)= -1.4

b= -1.4 -2.2

b = -3.6

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