# A triangle is rotated 180 about the origin. Its image is reflected in the x-axis. The verticles of the final triangle are (-4,-4),(-2,-4), and (-3,-1). That are the verticles of the original triangle?

Question
A triangle is rotated 180 about the origin. Its image is reflected in the x-axis. The verticles of the final triangle are (-4,-4),(-2,-4), and (-3,-1). That are the verticles of the original triangle?

2021-03-02
Before being reflected in the xx-axis the vertices (x,y) of the triangle were:
$$\displaystyle{\left({x},{y}\right)}→{\left({x},−{y}\right)}$$
(−4,4), (−2,4), (−3,1),
Before being rotated 180\textdegree180\textdegree about the origin, the vertices (x,y) of the triangle were:
$$\displaystyle{\left({x},{y}\right)}→{\left(−{x},−{y}\right)}$$
(4,−4). (2,−4). (3,−1).

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