Answer:
Step-by-step explanation:
To reflect the quadrilateral over line n, you need to reflect each of the vertices, J, K, L, and M, over the line. then you connect the vertices to end up with the reflected quadrilateral J'K'L'M'.
This is how you reflect each point.
Let's find the reflection of point J. We will call the reflection point J'.
Draw a perpendicular to line n that passes through point J. Start at point J, draw the line toward line n, and go past line n. Then measure the distance from point J to line n along this perpendicular, and mark off the same distance on the other side of line n. That is point J', the reflection of point J.
Do the same with points K, L, and M. For each point, draw a perpendicular to line n that passes through point K, L, M. Then measure the distance from each point to line n. The same distance on the other side of line n is the reflection of the point.
Finally, connect points J', K', L', and M' with segments.
Look at the figure below. Draw a perpendicular line (in red) from point J to line n. Then the same distance that point J is from line n along the perpendicular (distance called x) is the distance point J', the reflection of point J, is on the other side of line n. For point M, use the blue perpendicular. The distance is y on both sides of line n. The purple line and distance z are used for point L. The green line and distance w are used for point K. Once you have the reflections of the points, you connect them. That is shown in brown. The brown quadrilateral J'K'L'M is the reflection of the original quadrilateral JKLM with respect to line n.
