Question

Which rule describes the transformations applied in the figure above?

Answer 1

The correct answer is the third option (x, y) => (2x - 10, 2y)

Step-by-step explanation:

The points that form the figure ABC are:

A = (2, 7)

B = (1, 2)

C = (3, 4)

If we apply the transformation: (x, y) => (2x - 10, 2y)

`A=(2,7)\rightarrow A^(\prime)=(2\cdot2-10,2\cdot7)=(-6,14)`
`B=(1,2)\rightarrow B^(\prime)=(2\cdot1-10,2\cdot2)=(-8,4)`
`C=(3,4)\rightarrow C^(\prime)=(2\cdot3-10,2\cdot4)=(-4,8)`

Which coincides with the points that form the triangle A'B'C'.

Thus, the correct option is the third one