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Elden [556K]
3 years ago
14

The vertices triangle ABC are A(0,3) , B(2,-4) and C (-4,-6 . Triangle ABC is rotated 180 degrees counter close wise about the o

rigin to form A'B'C'. What are the coordinates of the vertices of A'B'C' ?

Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0

Answer:  The co-ordinates of the vertices of the triangle A'B'C are A'(0,-3), B'(-2, 4) and C'(4, 6).

Step-by-step explanation:  Given that the vertices of triangle ABC A(0,3), B(2,-4) and C(-4,-6). Triangle ABC is rotated 180 degrees counter close wise about the origin to form A'B'C'.

We are to find the co-ordinates of the vertices of triangle A'B'C'.

We know that

if a point (x, y) is rotated 180 degrees counterclockwise about the origin, then its co-ordinates changes as follows :

(x,y)~~~\Rightarrow~~~(-x,-y).

Therefore, the co-ordinates of the vertices of triangle A'B'C' are

A(0,3)~~~\Rightarrow~~~A'(0,-3),\\\\B(2,-4)~~~\Rightarrow~~~B'(-2,4),\\\\C(-4,-6)~~~\Rightarrow~~~C'(4,6).

Thus, the co-ordinates of the vertices of the triangle A'B'C are A'(0,-3), B'(-2, 4) and C'(4, 6).

shutvik [7]3 years ago
4 0
work shown above! basically each coordinate is opposite so the new coordinates would be A(0,-3) B(-2,4) C(4,6)

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