Question

the smaller triangle is the preimage and the larger triangle is the image. which of the following represents the motion rule used to dilate the triangle? (x, y)→(2x, 2y) (x, y)→(1/4x, 1/4y) (x, y)→(4x, 4y) (x, y)→(8x, 8y)

Explanation:

Step1: Identify a point on pre - image

Let's take the vertex of the smaller triangle at $(0,1)$.

Step2: Identify corresponding point on image

The corresponding vertex on the larger triangle is at $(0,4)$.

Step3: Check the dilation rule

If we apply the rule $(x,y)\to(4x,4y)$ to the point $(0,1)$, we get $(4\times0,4\times1)=(0,4)$.

Answer:

$(x,y)\to(4x,4y)$