Question

Triangle ABC is rotated to create the image A'B'C'.

On a coordinate plane, 2 triangles are shown. The first triangle has points A (negative 1, negative 1), B (1, negative 1), and C (0, negative 4). The second triangle has points A prime (1, 1), B prime (negative 1, 1), and C prime (0, 4).
Which rule describes the transformation?

(x, y) → (x, –y)
(x, y) → (y, x)
(x, y) → (–x, –y)
(x, y) → (–y, –x)

Answer 1

(x, y) → (–x, –y)

Explanation:

Coordinates of triangle ABC:

A (-1, -1)

B (1, -1)

C (0, -4)

If we apply the transformation (x, y) → (–x, –y) we will get:

A (-1, -1) → (1, 1) which correspond to point A'

B (1, -1) → (-1, 1) which correspond to point B'

C (0, -4) → (0, 4) which correspond to point C'

Answer 2

The transformation used here is,

(x, y) → (-x , -y)

Explanation:

Triangle ABC is rotated to create the image of triangle A'B'C'

Co-ordinates of A, B, C are,

A = (-1 , -1) ; B = (1 , -1) ; C = (0, -4)

Co-ordinates of A' ,B' , C' are,

A'= (1 , 1) ; B' = (-1 , 1) ; C' = (0, 4)

Hence, the transformation used here is,

(x, y) → (-x , -y)