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?

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

Step 2: Lets Equate the midpoints'

The mid pint of BD

=> =  (-0.1, -0.7)

a = 2.1

b = -3.6

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the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .