A pencil, a sheet of paper, and seven connected lines are enough for this Thanksgiving table puzzle. Draw a little harvest-stall outline, then ask whether someone can trace every line in one continuous journey. The seasonal decoration belongs around the puzzle; the challenge itself depends on exactly which points are connected.
This is a prepared example of a familiar tracing activity, with a checked answer below. Offer it as an optional quiet activity while people settle in. Someone can trace with a finger, describe a route aloud, or work with a partner who marks the paper.
Draw the original seven-segment network
Label five junctions A, B, C, D, and E. On squared paper, place A at (0,0), B at (4,0), C at (4,4), D at (0,4), and E at (2,6), counting upward from the bottom. A and B are the lower corners; D and C are the upper corners; E is the roof peak.
Draw these seven segments only: AB, BC, CD, DA, CE, DE, and AC. That makes a square, a two-sided roof, and a diagonal from A to C. Do not draw a roof support from E to the middle of the square. Put any pumpkins or leaves outside the network so nobody mistakes a decorative stroke for another edge.
State the tracing rule
Start at a labeled junction. Follow every drawn segment exactly once without lifting your pencil or retracing a segment. You may visit a junction more than once, and you do not have to finish where you started. Traveling along the same segment in the opposite direction still counts as retracing it.
A useful instruction to read aloud is: “Use all seven lines, once each, in one connected walk.” You cannot jump between unconnected letters, draw a shortcut, or treat a letter label as part of the route. Keep the letters just outside the lines and make the five junctions obvious dots.
Try it before viewing the answer
Cover the answer farther down the page. Give each person a clean copy or ask a pair to use one copy together. A spare list of the seven segments lets a partner cross off each completed connection. This is easier to audit than a heavily darkened pencil trail.
If a route stops with an unused segment left elsewhere, start again. For example, going around the square B–A–D–C–B strands you at B with the roof and diagonal still unused and no available unused edge from B. That particular attempt failed; it does not establish that the puzzle is impossible.
Reveal one checked route
One valid answer is A → B → C → E → D → A → C → D. There are eight letter visits because seven journeys connect them. The consecutive segments are AB, BC, CE, ED, DA, AC, and CD. ED is the same undirected segment as DE in the original drawing.
Read those seven pairs against the setup list. Each exists, every listed segment appears once, and the end of one move is the start of the next. The route starts at A and ends at D. Revisiting A and C is permitted; repeating an entire segment would not be.
Distinguish a valid answer from a unique answer
This answer is not presented as unique or shortest. Reversing the whole route gives another valid traversal: D–C–A–D–E–C–B–A. Accept any proposed route that passes the same seven-pair check, rather than requiring everyone to copy the displayed order.
If somebody claims an alternative works, write the letters before arguing from the picture. An extra appearance of AB means an edge was repeated; a missing CE means the roof was unfinished. The list makes disagreements specific and easy to resolve.
Build a fresh challenge from a route
For another round, draw a continuous route first and save its sequence as your answer. Make the junctions explicit, avoid ambiguous crossings, then check that the finished drawing has precisely the segments you intended. Editing even one line means checking the answer again.
Keep the clean challenge and answer on separate sheets in your Thanksgiving activity folder. A clearly stated rule and a traceable answer are more useful than making the drawing look complicated.
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