Question

triangle klm and triangle klm are shown on the coordinate plane. write the rule that describes the composition of transformations that maps triangle klm to triangle klm. enter your answers in the boxes. r(o,°) ∘ t(,)(x,y)

Explanation:

Step1: Analyze horizontal change

Observe the x - coordinates of corresponding points. For example, if we take a point in triangle KLM and its corresponding point in triangle K'L'M', we see that the x - coordinate of each point in KLM is decreased by 2 to get the x - coordinate of the corresponding point in K'L'M'. So the horizontal transformation is \(x\to x - 2\).

Step2: Analyze vertical change

Observe the y - coordinates of corresponding points. The y - coordinate of each point in KLM is decreased by 8 to get the y - coordinate of the corresponding point in K'L'M'. So the vertical transformation is \(y\to y - 8\).

Answer:

\((x,y)\to(x - 2,y - 8)\)