The set of points (4, 3), (7, 3), (4, 0), and (7, 0) identifies the vertices of a quadrilateral. which is the most specific description to tell which figure the points form?

The given points are the vertices of a rectangle.

Step-by-step explanation:

Distance formula

d = √(x₂-x₁)² + (y₂-y₁)²

It is given that, The  set of points (4, 3), (7, 3), (4, 0), and (7, 0) .

Let ABCD be the quadrilateral with,

A(4, 3), B(7, 3), C(4, 0), and D(7, 0).

To find each side of ABCD

A(4, 3), B(7, 3), C(4, 0), and D(7, 0).

AB = √(x₂-x₁)² + (y₂-y₁)²  = √[(7-4)² + (3-3)²] = 3

BC = √(x₂-x₁)² + (y₂-y₁)²  = √[(4-7)² + (0-3)²] =  √18 =  3√3

CD = √(x₂-x₁)² + (y₂-y₁)²  = √[(7-4)² + (0-0)²] = 3

AD = √(x₂-x₁)² + (y₂-y₁)²  = √[(7-4)² + (0-3)]² =  √18 =  3√3

To find the diagonals

AC = √(x₂-x₁)² + (y₂-y₁)²  = √[(4-4)² + (0-3)² ]= 3

BD = √(x₂-x₁)² + (y₂-y₁)²  = √[(7-7)² + (0-3)² ]= 3

Conclusion

From the above result we can see that,

AB = CD ,BC = AD and diagonals AC = BD

Opposite sides are equal and diagonals are equal.

Therefore ABCD is a rectangular.

mxb67

step-by-step explanation:

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540