Question

Graph ΔABC and its image after a rotation of 180º about the origin.

Answer 1

The vertices of image are A'(0,0), B'(-1,-5) and C'(4,-5). The graph of image and preimage is shown below.

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

`P(x,y)\rightarrow P'(-x,-y)`

The vertices of image are

`A(0,0)\rightarrow A'(0,0)`

`B(1,5)\rightarrow B'(-1,-5)`

`C(-4,5)\rightarrow C'(4,-5)`

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.