Question

Rectangle J(1,1) K(1,4) L(5,4) M(5,1) is reflected across the y-axis to create rectangle J’K’L’M’. What is the ordered pair for L’?"

Answer 1

After reflecting rectangle JKL M across the y-axis, the coordinates for point L' are (-5, 4), which involves inverting the sign of the x-coordinate of L while keeping the y-coordinate constant.

Step-by-step explanation:

The student is asking about the result of reflecting a rectangle across the y-axis. To find the coordinates of L' after rectangle J(1,1) K(1,4) L(5,4) M(5,1) is reflected, we take the x-coordinate of point L, which is 5, and invert its sign because a reflection across the y-axis changes the sign of the x-coordinate while leaving the y-coordinate the same. So the x-coordinate of L' becomes -5. The y-coordinate remains unchanged, so L' has the same y-coordinate, which is 4. Therefore, the ordered pair for L' after the reflection is (-5, 4).