Asquare on a coordinate plane has one vertex at (-0.5, -2) and a perimeter of 10 units. if all of the vertices are located in quadrant iii, what are the coordinates of the other three vertices.

B(-3,-2), C(-3,-4.5),D(-0.5,-4.5)

Step-by-step explanation:

step 1

Find the length side of the square

we know that the perimeter of square is

where

b is the length side of the square

we have

substitute and solve for b

Divide by 4 both sides

step 2  

Find out the coordinates of the other three vertices

Let

A(-0.5,-2) ---> the given coordinates of one vertex

we know that

all of the vertices are located in Quadrant III

so

the other three vertices are located at the left and down of vertex A

coordinate of vertex B located at 2.5 units at left of vertex A

coordinate of vertex C located at 2.5 units at left and 2.5 units down of vertex A

coordinate of vertex D located at 2.5 units down of vertex A

therefore

B(-0.5-2.5,-2) -----> B(-3,-2)

C(-0.5-2.5,-2-2.5) -----> C(-3,-4.5)

D(-0.5,-2-2.5) -----> D(-0.5,-4.5)

see the attached figure to better understand the problem

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation: