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Shape Transformation Sequence Beginner-Intermediate Worksheet: Focus on common variations practice Shape Transformation Sequence BEGINNER INTERMEDIATE

Level up your Shape Transformation Sequence skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: shape transformation sequence for competitive exams, how to solve shape transformation sequence, shape transformation sequence tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Shape Transformation Sequence
Worksheet 4 of 10 (33% complete)

Question 1

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 5 sides (pentagon)
- Figure 3: 6 sides (hexagon)
- Figure 4: 7 sides (heptagon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = 1 sides
- Fig 3 - Fig 2 = 1 sides
- Fig 4 - Fig 3 = 1 sides

RULE HYPOTHESIS:
Each polygon gains one side in sequential transformation

VERIFICATION:
Consistent transformation: +1 side per step ✓

APPLICATION:
Figure 5: 7 + 1 = 8 sides
Shape: octagon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 2

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 5 sides (pentagon)
- Figure 3: 6 sides (hexagon)
- Figure 4: 7 sides (heptagon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = 1 sides
- Fig 3 - Fig 2 = 1 sides
- Fig 4 - Fig 3 = 1 sides

RULE HYPOTHESIS:
Each polygon gains one side in sequential transformation

VERIFICATION:
Consistent transformation: +1 side per step ✓

APPLICATION:
Figure 5: 7 + 1 = 8 sides
Shape: octagon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 3

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 3 sides (triangle)
- Figure 3: 2 sides (2-gon)
- Figure 4: 1 sides (1-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 1 - 1 = 0 sides
Shape: 0-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 4

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 3 sides (triangle)
- Figure 3: 2 sides (2-gon)
- Figure 4: 1 sides (1-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 1 - 1 = 0 sides
Shape: 0-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 5

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 3 sides (triangle)
- Figure 3: 2 sides (2-gon)
- Figure 4: 1 sides (1-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 1 - 1 = 0 sides
Shape: 0-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 6

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 5 sides (pentagon)
- Figure 3: 6 sides (hexagon)
- Figure 4: 7 sides (heptagon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = 1 sides
- Fig 3 - Fig 2 = 1 sides
- Fig 4 - Fig 3 = 1 sides

RULE HYPOTHESIS:
Each polygon gains one side in sequential transformation

VERIFICATION:
Consistent transformation: +1 side per step ✓

APPLICATION:
Figure 5: 7 + 1 = 8 sides
Shape: octagon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 7

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 3 sides (triangle)
- Figure 2: 2 sides (2-gon)
- Figure 3: 1 sides (1-gon)
- Figure 4: 0 sides (0-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 0 - 1 = -1 sides
Shape: -1-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 8

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 3 sides (triangle)
- Figure 3: 2 sides (2-gon)
- Figure 4: 1 sides (1-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 1 - 1 = 0 sides
Shape: 0-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 9

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 3 sides (triangle)
- Figure 3: 2 sides (2-gon)
- Figure 4: 1 sides (1-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 1 - 1 = 0 sides
Shape: 0-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 10

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 5 sides (pentagon)
- Figure 2: 4 sides (quadrilateral)
- Figure 3: 3 sides (triangle)
- Figure 4: 2 sides (2-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 2 - 1 = 1 sides
Shape: 1-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 11

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 3 sides (triangle)
- Figure 3: 2 sides (2-gon)
- Figure 4: 1 sides (1-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 1 - 1 = 0 sides
Shape: 0-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 12

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 5 sides (pentagon)
- Figure 3: 6 sides (hexagon)
- Figure 4: 7 sides (heptagon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = 1 sides
- Fig 3 - Fig 2 = 1 sides
- Fig 4 - Fig 3 = 1 sides

RULE HYPOTHESIS:
Each polygon gains one side in sequential transformation

VERIFICATION:
Consistent transformation: +1 side per step ✓

APPLICATION:
Figure 5: 7 + 1 = 8 sides
Shape: octagon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 13

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 3 sides (triangle)
- Figure 2: 2 sides (2-gon)
- Figure 3: 1 sides (1-gon)
- Figure 4: 0 sides (0-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 0 - 1 = -1 sides
Shape: -1-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 14

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 5 sides (pentagon)
- Figure 2: 4 sides (quadrilateral)
- Figure 3: 3 sides (triangle)
- Figure 4: 2 sides (2-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 2 - 1 = 1 sides
Shape: 1-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 15

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 3 sides (triangle)
- Figure 3: 2 sides (2-gon)
- Figure 4: 1 sides (1-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 1 - 1 = 0 sides
Shape: 0-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 16

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 5 sides (pentagon)
- Figure 2: 6 sides (hexagon)
- Figure 3: 7 sides (heptagon)
- Figure 4: 8 sides (octagon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = 1 sides
- Fig 3 - Fig 2 = 1 sides
- Fig 4 - Fig 3 = 1 sides

RULE HYPOTHESIS:
Each polygon gains one side in sequential transformation

VERIFICATION:
Consistent transformation: +1 side per step ✓

APPLICATION:
Figure 5: 8 + 1 = 9 sides
Shape: 9-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 17

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 5 sides (pentagon)
- Figure 2: 6 sides (hexagon)
- Figure 3: 7 sides (heptagon)
- Figure 4: 8 sides (octagon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = 1 sides
- Fig 3 - Fig 2 = 1 sides
- Fig 4 - Fig 3 = 1 sides

RULE HYPOTHESIS:
Each polygon gains one side in sequential transformation

VERIFICATION:
Consistent transformation: +1 side per step ✓

APPLICATION:
Figure 5: 8 + 1 = 9 sides
Shape: 9-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 18

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 4 sides (quadrilateral)
- Figure 2: 3 sides (triangle)
- Figure 3: 2 sides (2-gon)
- Figure 4: 1 sides (1-gon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = -1 sides
- Fig 3 - Fig 2 = -1 sides
- Fig 4 - Fig 3 = -1 sides

RULE HYPOTHESIS:
Each polygon loses one side in sequential transformation

VERIFICATION:
Consistent transformation: -1 side per step ✓

APPLICATION:
Figure 5: 1 - 1 = 0 sides
Shape: 0-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 19

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 5 sides (pentagon)
- Figure 2: 6 sides (hexagon)
- Figure 3: 7 sides (heptagon)
- Figure 4: 8 sides (octagon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = 1 sides
- Fig 3 - Fig 2 = 1 sides
- Fig 4 - Fig 3 = 1 sides

RULE HYPOTHESIS:
Each polygon gains one side in sequential transformation

VERIFICATION:
Consistent transformation: +1 side per step ✓

APPLICATION:
Figure 5: 8 + 1 = 9 sides
Shape: 9-gon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression

Question 20

Identify the geometric transformation rule: Figure 1: Figure 2: Figure 3: Figure 4: What shape comes next?
PATTERN ANALYSIS:
Step 1: Identify each shape by counting sides
- Figure 1: 3 sides (triangle)
- Figure 2: 4 sides (quadrilateral)
- Figure 3: 5 sides (pentagon)
- Figure 4: 6 sides (hexagon)

Step 2: Analyze side count progression
- Fig 2 - Fig 1 = 1 sides
- Fig 3 - Fig 2 = 1 sides
- Fig 4 - Fig 3 = 1 sides

RULE HYPOTHESIS:
Each polygon gains one side in sequential transformation

VERIFICATION:
Consistent transformation: +1 side per step ✓

APPLICATION:
Figure 5: 6 + 1 = 7 sides
Shape: heptagon

GEOMETRIC PRINCIPLES:
- Regular polygons maintain equal side lengths
- Interior angle changes with side count
- Formula: Interior angle = (n-2) × 180° / n

COMMON MISTAKES TO AVOID:
- Miscounting sides in complex polygons
- Confusing vertices with sides
- Not recognizing regular vs irregular polygons
- Missing the consistent arithmetic progression
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