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Four points are drawn on the coordinate plane and connected with straight lines to form a rectangle. Three of the
vertices of the rectangle are located at (2, 1), (2,4), and (-4,4).
a. What are the coordinates of the fourth vertex of the rectangle?
b. What are the dimensions of the rectangle?
c. What is the area of the rectangle?



Sagot :

Answer:

Step-by-step explanation:

the two diagonals of a rectangle have the same middle point

middle point

x = (2-4)/2 = -1

y = (1+4)/2 = 5/2

The diagonal BD must have the same middle point, so we can find vertex D in this way

(x +2)/2 = -1

x+2 = -2

x = -4

(y+4)/2 = 5/2

y+4 = 5

y = 1

fourth vertex :  (-4, 1)

2) for find the first dimension we can use this formula

|y2 - y1| = |4-1| = 3

for find the second we can use this one:

|x2-x1| = |-4-2| = |-6| = 6 (a dimension can’t be negative)

3)

A = dimension 1 x dimension 2 =  3 x 6 = 18

Answer:they for it right

Step-by-step explanation:

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