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triangle abc is translated to triangle abc by the following motion rule…

Question

triangle abc is translated to triangle abc by the following motion rule. (x,y)→(x + 2,y - 5) what will be the coordinates of a? a. (4, - 4) b. (2, - 5)

Explanation:

Step1: Identify coordinates of A

From the graph, the coordinates of point A are $(2,1)$.

Step2: Apply translation rule

The translation rule is $(x,y)\to(x + 2,y - 5)$. For point A with $x = 2$ and $y=1$, the new $x$-coordinate is $x'=2 + 2=4$ and the new $y$-coordinate is $y'=1-5=-4$.

Answer:

A. $(4,-4)$