Answer:
The vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5). The graph of image and preimage is shown below.
Step-by-step explanation:
From the given figure it is noticed that the vertices of triangle ABC are A(0,0), B(1,5) and C(-4,5).
If a figure rotated at 180º about the origin, then
[tex]P(x,y)\rightarrow P'(-x,-y)[/tex]
The vertices of image are
[tex]A(0,0)\rightarrow A'(0,0)[/tex]
[tex]B(1,5)\rightarrow B'(-1,-5)[/tex]
[tex]C(-4,5)\rightarrow C'(4,-5)[/tex]
Therefore the vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5).
The graph of image and preimage is shown below.
