If square pqrs is rotated 180° about the origin to create square p'q'r's', which set of sides would be parallel in the resulting image?

i. p'q' and q'r'
ii. q'r' and p's'
iii. p'q' and s'p'
iv. q'r' and r's'

a.
ii only
b.
iii only
c.
i and iv only
d.
i and ii only

A. II only is correct.

Step-by-step explanation:

We are given the square PQRS with co-ordinates P(2,-5), Q(4,-3), R(6,-5) and S(4,-7).

As, we know that,

Reflection about 180° changes the co-ordinates (x,y) to (-x,-y).

So, the co-ordinates of P'Q'R'S' are given by,

P'(-2,-5), Q'(-4,-3), R'(-6,-5) and S'(-4,-7).

So, from the figure below, we see that,

P'Q' is parallel to S'R'

Q'R' is parallel to P'S'.

So, according to the options, we have,

Option II i.e. Q'R' is parallel to P'S' is correct.

Thus, option A is correct.

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

answer: he is 272195

step-by-step explanation: all you have to do is multiple 3535 and 77 and it equals 272195