9. Write a reflection rule that maps each triangle to its image. a J(1,0),K(-5,2),L(4,-4) and J'(-9,0),K'(-3,2),L'(-12,-4)

To determine the reflection rule that maps triangle JKL to triangle J'K'L', we need to compare the coordinates of the corresponding vertices.<br /><br />Step 1: Compare the coordinates of J and J'.<br />The coordinates of J are (1,0) and the coordinates of J' are (-9,0). We can see that the x-coordinate of J' is the negative of the x-coordinate of J, while the y-coordinate remains the same. This indicates a reflection over the y-axis.<br /><br />Step 2: Compare the coordinates of K and K'.<br />The coordinates of K are (-5,2) and the coordinates of K' are (-3,2). We can see that the x-coordinate of K' is closer to the y-axis compared to the x-coordinate of K, while the y-coordinate remains the same. This further confirms the reflection over the y-axis.<br /><br />Step 3: Compare the coordinates of L and L'.<br />The coordinates of L are (4,-4) and the coordinates of L' are (-12,-4). Again, we can see that the x-coordinate of L' is the negative of the x-coordinate of L, while the y-coordinate remains the same. This confirms the reflection over the y-axis.<br /><br />Based on these comparisons, we can conclude that the reflection rule that maps triangle JKL to triangle J'K'L' is a reflection over the y-axis.<br /><br />Answer: The reflection rule that maps triangle JKL to triangle J'K'L' is a reflection over the y-axis.