Graph the polygon with vertices A(−3,−1), B(2, 2), C(3,−3) and its image after a rotation 90∘ about the origin.

What are the coordinates for polygon ABC after its image after a rotation of 90 degrees about the origin?

Please show all of the work on how you got your answer.

A' (-1,3)

B' (2, -2)

C' (-3, -3)

Step-by-step explanation:

when rotating 90 degrees, you first invert the x value (if it is a positive make it a negative and if it is a negative make it a positive) and then you switch the x and y values.

for example, (1,2) would turn into (-2,1) after rotated 90 degrees.

I attached a file of both of the graphs. The blue is the original and the orange is the rotated one. hope it helps!

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

just get this app called photo math it should be able to do those