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
A circle is drawn inside a square. Two perpendicular diameters of the circle are drawn, dividing the circle into 4 equal parts. Which shape is embedded within this figure?
[Main Figure: Square with inscribed circle, two perpendicular diameters creating 4 quadrants]
Practice 2easy
A rectangle is divided by one vertical line and one horizontal line, both passing through the center. How many smaller rectangles are created within the main rectangle?
[Main Figure: Rectangle with one vertical and one horizontal line through the center]
Practice 3easy
A triangle is drawn with all three sides clearly marked. A line is drawn from one vertex to the midpoint of the opposite side. Which of the following is embedded in this figure?
[Main Figure: Triangle with a line from one vertex to the midpoint of the opposite side (a median)]
Practice 4easy
A square is divided into 4 equal smaller squares arranged in a 2×2 grid. One diagonal is drawn in the top-left small square. How many triangles are now visible in the entire figure?
[Main Figure: 2×2 grid of squares with one diagonal in the top-left square]
Practice 5medium
A main figure shows a square frame with four internal sections: top-left has a star, top-right has parallel lines, bottom-left has a hexagon, and bottom-right has a cross. Which figure is embedded within the main pattern?
a) A star with parallel lines
b) A hexagon only
c) A cross with a hexagon
d) Parallel lines with a star
Practice 6medium
A main figure consists of a rectangle containing three overlapping shapes: a semicircle at the top, a triangle in the middle, and a trapezoid at the bottom. The semicircle and triangle overlap partially. Which figure is embedded in the main pattern?
a) A semicircle with a triangle
b) A triangle only
c) A trapezoid with a semicircle
d) A semicircle with a triangle and a trapezoid
Practice 7medium
A complex figure consists of overlapping shapes: a rectangle with a diagonal line, a pentagon overlapping it, and a circle intersecting both. Which of the following is embedded in this figure?
a) A rectangle with only the diagonal line
b) A pentagon with a partial circle arc
c) A circle with a rectangle inside
d) A diagonal line with a pentagon vertex
Practice 8medium
A complex figure shows a large triangle subdivided by internal lines into smaller regions. One region contains a shaded circle, another contains a shaded square, and a third contains an unshaded diamond. Which of the following is embedded in the figure?
a) A shaded circle with an unshaded diamond
b) A shaded square only
c) A shaded circle with a shaded square
d) An unshaded diamond with a shaded circle
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