Question

Triangle ABC is rotated to create the image A'B'C'. Which rule describes the transformation?

Answer 1

The answer is letter C. (x, y) → (–x, –y)

Answer 2

Answer: (x,y) → (-x,-y)

Step-by-step explanation:

In geometry , a rotation is an transformation of a shape by rotating it with a certain number of degree about a particular point which is called the center of rotation , and is represented by
`R_((o,x))` ,where x is the angle of rotation about a center point o.

Now consider the preimage of triangle ABC be (x,y) and for angle of rotation for rotating triangle ABC to A'B'C' is 180° or -180° about center of rotation(0,0).

i.e.
`\text {under }R_((0,0),180^(\circ))`

the image formed is (-x,-y).

In figure we can see the image of triangle ABC( In first quadrant ) is triangle A'B'C in third quadrant with center of rotation origin (0,0).