Middle School

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Triangle KLM has vertices K(1,3), L(1,1), and M(4,1). Triangle KLM will be translated 3 units to the left and 4 units down. What will be the x-coordinate of the image point K'?

Answer :

Final answer:

To find the x-coordinate of the image point K' after translating the original point K(1,3) 3 units left and 4 units down, we subtract 3 from the x-coordinate of K, resulting in -2.

Explanation:

The question asks us to determine the new x-coordinate of point K after a translation operation. Point K has an initial coordinate at K(1,3). To translate a point, we add or subtract the translation values from the point's coordinates. In this case, we need to translate point K by moving it 3 units to the left and 4 units down. Moving 3 units to the left means subtracting 3 from the x-coordinate, and moving 4 units down means subtracting 4 from the y-coordinate; however, only the x-coordinate is necessary for this question.

The new x-coordinate of point K' after the translation is 1 - 3 = -2.

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Rewritten by : Barada

With y coordinates down means subtracting and with x coordinations left means subtracting so to find coordinate K’ you take its coordinates (1,3) and do 1-3=-2 and 3-4=-1. K’ is at (-2, -1)