Respuesta :

The x-axis is the horizontal line and when you rotate it 180degress you turn it 2 times
Ver imagen bluezebra805

ΔPQR is in the IV Quadrant, where all x's are positive and all y's are negative
Moreover a rotation doesn't affect neither the length nor the shape of the original triangle, just the mouvement in term of rotation.

1st. Rotation of 180°:
Imagine you are rotating the whole figures by 90°, then the figure which is in
Quadrant IV, will move to Quadrant III, and if you perform another rotation of 90°, it will move from Quadrant III to Quadrant II (you know that in Quadrant II, all x's are negative and all y's are positive.

Here below the coordinates of the original PQR and its transformation by rotation (II Quadrant) that is P'Q'R'

IV Quadrant            II Quadrant
-----------------           -----------------
P(1,-1)                    P'(-1,1)
Q(3,-2)                   Q'(-3,2)
R(3,-4)                   R'(-3,4)

2nd PQR image across x-axis
Where x's and y's are all positive

IV Quadrant            I Quadrant
-----------------           -----------------
P(1,-1)                    P''(1,1)
Q(3,-2)                   Q''(3,2)
R(3,-4)                   R''(3,4)

Obviously, also you could have applied a transformation of - 90° and you would get the same result