Embedded Figures — Finding the Hidden Shape

🎯 Learning Objective

Locate a simple target figure hidden inside a complex figure using systematic edge-tracing.

💡 Concept

• In standard embedded-figure questions the hidden shape sits at the SAME size and SAME orientation — it is never rotated or flipped
• Step 1: study the target — count its sides, corners and note its most unusual feature (sharpest angle, longest line)
• Step 2: scan the complex figure only for that unusual feature — it narrows the search instantly
• Step 3: from that feature, trace the target's edges one by one; every side must already exist as a drawn line
• One missing or extra bend while tracing = wrong region; move to the next candidate

✏️ Easy Example

Q. Target: the letter V. Complex figure: the letter W. Is the target embedded, and how many times?

1. W is two V shapes joined side by side
2. Trace left half of W → one complete V; right half → another

Answer: Yes — V is embedded twice in W

🇮🇳 Real-Life Example

Spotting your friend's face in a crowded group photo — you search for one unusual feature (his red cap) first, not the whole face everywhere.

📝 Exam-Level Example

Q. Target: a plus (+) shape. Complex figure: a hash (#) made of two horizontal and two vertical lines. How many + shapes are embedded?

1. Each crossing of a horizontal and a vertical line forms a +
2. 2 horizontal × 2 vertical lines = 4 crossing points

Answer: 4

📝 Exam-Level Example

Q. Target: a triangle. Complex figure: a square with both diagonals drawn. Is a triangle embedded?

1. Diagonals cut the square into 4 parts
2. Each part is a triangle with the centre as one corner

Answer: Yes — 4 triangles (one per side of the square)

🪄 Memory Trick

Anchor on the target's rarest feature. A shape with one odd slanted line? Search only slanted lines in the complex figure — 90% of the figure gets eliminated without tracing.

⚠️ Common Mistakes

• ❌ Mentally rotating or flipping the target — in these questions orientation always stays the same
• ❌ Accepting a region where one side of the target is only PARTLY drawn — every edge must exist fully
• ❌ Starting the trace from a common feature instead of the rarest one, wasting time

🏆 Exam Tips

• ✅ Count the target's corners before scanning — a 5-corner shape can never hide in a 4-corner region
• ✅ Trace with your pen tip on the paper edge by edge; eyes alone slip between lines

📌 Summary

• Hidden shape keeps same size and orientation
• Anchor on the target's most unusual feature
• Trace every edge — all must exist as drawn lines
• Corner count mismatch = instant rejection