Shape Transformation Series

Shape Transformation Series problems present a sequence where shapes change into different geometric forms. Common transformations include adding one side each step (triangle→square→pentagon→hexagon), changing from regular to star shapes, or alternating between shape families.

10Worksheets
200+Practice Questions
MediumDifficulty
2-3 hoursHours to Master

Introduction to Shape Transformation Series

Shape Transformation Series problems present a sequence where shapes change into different geometric forms. Common transformations include adding one side each step (triangle→square→pentagon→hexagon), changing from regular to star shapes, or alternating between shape families.

Prerequisites

Knowledge of polygons (triangle, square, pentagon, hexagon, heptagon, octagon) Understanding of regular vs irregular shapes Star polygon recognition Shape complexity ordering
Why This Matters: Shape Transformation Series problems appear in 1-2 questions in SSC CGL and Banking PO exams. They test geometric progression and shape property recognition.

How to Solve Shape Transformation Series Problems

1

Step 1: Identify the shape in each position (triangle, square, pentagon, etc.)

2

Step 2: Count the number of sides for each polygon

3

Step 3: Determine the pattern (e.g., add 1 side each step, add 2 sides, alternate)

4

Step 4: Apply the pattern to find the next shape

5

Step 5: Consider if shape orientation or fill also changes

6

Step 6: Select the figure with the correct shape

Pro Strategy: Count the number of sides of each polygon. The pattern usually involves adding a fixed number of sides each step. Circle has 0 sides (or infinite) and is treated separately.

Example Problem

Example: Shapes: triangle, square, pentagon, hexagon, ___. What comes next? Solution: Step 1: Triangle(3 sides), Square(4), Pentagon(5), Hexagon(6) Step 2: Pattern: add 1 side each step Step 3: Next shape has 7 sides = Heptagon Answer: Heptagon

Pro Tips & Tricks

  • Practice regularly to build speed and accuracy
  • Understand the concept before memorizing formulas
  • Start with easier problems and gradually increase difficulty

Exam Importance

Shape Transformation Series is an important topic for various competitive exams. Here's how frequently it appears:

SSC CGL
1-2 questions
BANKING PO
1-2 questions
RAILWAYS RRB
1-2 questions
INSURANCE
1-2 questions

Ready to Master Shape Transformation Series?

Start with Worksheet 1 and work your way up to expert level! Each worksheet includes:

20 practice questions
Detailed solutions
Step-by-step explanations
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