Problem

$\begin{array}{l}J(-6,-2) \\ K_{1}(8,2) \\ L_{1}(6,6) \\ M(-2,6) \\ W(2,-4) \\ X(4,-4 \\ Y(2,-8) \\ Z(-6,-8)\end{array}$ what is the coordination rule?

Solution

Step 1 :The given points form two quadrilaterals JKL1M and WXYZ. We need to find the coordinate rule, which is how we move from one point to the next.

Step 2 :Let's start by finding the difference in the x and y coordinates between corresponding points in the two quadrilaterals.

Step 3 :For example, the x-coordinate of J is -6 and the x-coordinate of W is 2. The difference is \(2 - (-6) = 8\).

Step 4 :Similarly, the y-coordinate of J is -2 and the y-coordinate of W is -4. The difference is \(-4 - (-2) = -2\).

Step 5 :We can do the same for the other corresponding points (K1 and X, L1 and Y, M and Z) and we will find that the differences in the x and y coordinates are consistent.

Step 6 :This suggests that the coordinate rule involves adding 8 to the x-coordinate and subtracting 2 from the y-coordinate to move from a point in quadrilateral JKL1M to the corresponding point in quadrilateral WXYZ.

Step 7 :\(\boxed{\text{The coordinate rule is } (x, y) \rightarrow (x+8, y-2)}\)

From Solvely APP
Source: https://solvelyapp.com/problems/18568/

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