Core ConceptRead this first — the foundation of the topic
Let's work through an example
Simple Figure: A right triangle with one horizontal line and one vertical line forming a 90-degree angle
Complex Figure Options
1
Identify the key features of the simple figure - right angle, horizontal base, vertical height.
2
Look for the same right angle pattern in each complex figure. Eliminate figures that don't have this exact angle combination.
3
Trace the complete triangle shape within the remaining options. Check if all three sides can be found without breaks or distortions.
4
Verify that the proportions match the original figure. In this case, the correct answer would be the complex figure where you can trace the complete right triangle maintaining its exact shape and proportional relationships. Another effective trick is the 'Elimination Method' - quickly eliminate options that clearly don't contain enough lines or shapes to form the required figure. If the simple figure has 5 distinct line segments, the complex figure must have at least 5 line segments in the correct arrangement.
Exam TrapsCommon mistakes students make — avoid these
include accepting distorted versions of the target figure or missing rotated orientations. Students often get confused when the embedded figure appears upside down or sideways. Remember, rotation is allowed but shape distortion is not.
Practice identifying figures in different orientations to build this skill. The key to mastering embedded figures is systematic scanning and pattern recognition rather than random searching.
Key Points to Remember
Embedded figure maintains exact shape and size but can be rotated or flipped
Simple figure cannot be stretched, distorted, or have proportions changed
Use Corner Method - identify unique angles and corners first for quick elimination
Systematic scanning beats random searching every time
Complex figure must contain at least the same number of line segments as simple figure
Rotation in any direction (90°, 180°, 270°) is perfectly acceptable
Study the complex figure below: It shows a rectangle containing a pentagon, and the pentagon contains a circle. A smaller rectangle is positioned to the right of the pentagon but still within the larger rectangle.
Which of the following is embedded in this complex figure?
Practice 2medium
A complex figure contains a triangle, a circle, and a square overlapping each other. Which of the following figures is embedded within the complex figure?
[Complex Figure: A large triangle with a circle inside it, and a square overlapping both, creating multiple intersection regions]
A) A circle with a triangle inside it
B) A triangle with a square inside it
C) A square with a circle inside it
D) A circle overlapping a square with no triangle
Practice 3medium
A complex figure shows: a square containing a circle. Inside the circle is a rectangle. The rectangle contains a small diamond. Adjacent to the square (touching its edge but not overlapping) is a triangle.
Which figure is embedded within the complex figure?
Practice 4medium
A complex figure displays: a large circle containing a trapezoid. The trapezoid contains two small circles. A triangle is positioned partially overlapping the large circle's boundary (half inside, half outside).
Which of the following is embedded in the complex figure?
Practice 5medium
A complex figure shows: a hexagon with a diamond shape inside it. The diamond contains a small triangle. Outside the hexagon but adjacent to it is a square.
Which figure is embedded within the complex figure?
Practice 6hard
A rectangular frame contains the following elements: a large circle touching all four sides of the rectangle (inscribed circle), a smaller circle inside the larger circle (concentric), a horizontal line passing through the center of both circles, and a vertical line also passing through the center. Additionally, there are four small squares positioned at the corners of the rectangle, each touching the rectangle's edges. Which figure is completely embedded within the rectangular frame?
Practice 7hard
A pentagon (five-sided polygon) frame contains: a large triangle with vertices touching three of the pentagon's sides, a circle positioned in the upper region, a small square in the lower-left region, and a curved line (arc) connecting two points on the pentagon's boundary. Which of the following is completely embedded within the pentagon without any part touching its boundary?
Practice 8hard
A circular frame contains a complex arrangement: two overlapping rectangles (one horizontal, one tilted at 30 degrees), a small circle in the center, three triangular regions formed by the overlapping rectangles, and a dotted line forming a chord across the circle. Which figure is completely embedded within the circular frame?
Note: The tilted rectangle's corners extend beyond the circle's boundary in two places.
60-Second Revision — Embedded Figures
Remember: Shape and proportions must remain exactly the same
Technique: Use Corner Method to identify unique angles first
Strategy: Eliminate options with insufficient line segments immediately
Alert: Check all four orientations (0°, 90°, 180°, 270°) systematically
Trap: Don't accept distorted or stretched versions of the target figure
Time Management: Maximum 1.5 minutes per question, move on if stuck
Final Check: Trace the complete figure boundary to confirm the answer