Question

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

Answer 1

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

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

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.