Pentagon abcde is shown on the coordinate plane below:

pentagon on coordinate plane with ordered pairs at a negative 2, 4, at b negative 6, 2, at c negative 5, negative 2, at d 1, negative 2, at e 2, 2 .

if pentagon abcde is rotated 180° around the origin to create pentagon a'b'c'd'e', what is the ordered pair of point c'?

(−5, 2)

(5, 2)

(2, −5)

(−2, 5)

 The correct option is (B) (5, 2).

Step-by-step explanation:  Given that the co-ordinates of the vertices of pentagon ABCDE are A(-2, 4), B(-6, 2), C(-5, -2), D(1, -2) and E(2, 2).

We are to find the co-ordinates of the point C', if the pentagon ABCDE is  rotated 180° around the origin to create pentagon A'B'C'D'E'.

We know that a rotation of 180° changes the co-ordinates of a point (x, y) according to the following rule:

(x, y)  ⇒  (-x, -y).

Therefore, the vertices of pentagon ABCD will transform to the vertices of pentagon A'B'C'D'E' as follows:

A(-2, 4)  ⇒ A'(2, -4),

B(-6, 2)   ⇒ B'(6, -2),

C(-5, -2)  ⇒  C'(5, 2),

D(1, -2)    ⇒  D'(-1, 2),

E(2, 2)    ⇒   E'(-2, -2).

Thus, the co-ordinates of the point C' are (5, 2).

Option (B) is correct.

-1, -2, -3, -4, -6

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!