1. **State the problem:** We have two triangles, JKL with vertices J(6,2), K(2,5), L(7,8) and MNO with vertices M(5,-8), N(1,-5), O(6,-2). We want to find which transformation maps triangle JKL to triangle MNO and determine the relationship between the triangles. 2. **Check reflection over the x-axis:** Reflecting JKL over the x-axis changes each point $(x,y)$ to $(x,-y)$. Reflect J(6,2) to J'(6,-2) Reflect K(2,5) to K'(2,-5) Reflect L(7,8) to L'(7,-8) Compare with MNO vertices: M(5,-8), N(1,-5), O(6,-2) Reflected points do not match MNO points, so reflection over x-axis is incorrect. 3. **Check rotation 180° clockwise about the origin:** Rotation 180° maps $(x,y)$ to $(-x,-y)$. Rotate J(6,2) to J'(-6,-2) Rotate K(2,5) to K'(-2,-5) Rotate L(7,8) to L'(-7,-8) These do not match MNO points, so rotation 180° is incorrect. 4. **Check translation left 1 unit and down 10 units:** Translation maps $(x,y)$ to $(x-1,y-10)$. Translate J(6,2) to J'(5,-8) Translate K(2,5) to K'(1,-5) Translate L(7,8) to L'(6,-2) These points exactly match M(5,-8), N(1,-5), O(6,-2) but with vertices reordered. Since triangle vertices can be labeled differently, this is a congruent transformation. 5. **Check dilation by scale factor 2 from origin:** Dilation maps $(x,y)$ to $(2x,2y)$. Dilate J(6,2) to J'(12,4) Dilate K(2,5) to K'(4,10) Dilate L(7,8) to L'(14,16) These do not match MNO points, so dilation is incorrect. **Conclusion:** The transformation that maps triangle JKL to triangle MNO is translation left 1 unit and down 10 units, and the triangles are congruent. **Final answer:** Translate triangle JKL left 1 unit and downward 10 units; triangle JKL and triangle MNO are congruent.