Geometric Pattern Analysis: Identifying the Fourth Shape in Sequence

Q: How do I identify what changes between shapes?

Look carefully at each element - count lines, observe positions, and note what gets added or moved. Compare shapes 1→2, then 2→3 to find the pattern.

Q: What if I can't see a clear pattern?

Start simple! Count the number of lines in each shape, then look for additions. Sometimes the pattern is about position changes rather than just adding elements.

Q: How do I know which answer choice is correct?

Apply the pattern rule you discovered to predict what the fourth shape should look like. Then match your prediction to the given choices - only one will fit!

Q: What if multiple shapes look similar?

Pay attention to small details like line positions, connections, and orientations. Pattern problems often have subtle differences that matter for the sequence.

Q: Can I work backwards from the answer choices?

Yes! Test each choice by asking: 'Does this shape continue the pattern I see in positions 1-3?' The correct answer will fit the established rule perfectly.

Geometric Patterns with Progressive Shape Construction

What is the shape of the fourth element?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the next term in the sequence

00:03 Let's identify the pattern of the sequence

00:13 The sides alternate from top to bottom

00:24 This is the pattern of the sequence, we'll use it to find the next term

00:32 And this is the solution to the question

Step-by-step written solution

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Understand the problem

What is the shape of the fourth element?

Final Answer

Key Points to Remember

Essential concepts to master this topic

Pattern Recognition: Observe how each shape builds from the previous one
Technique: Count added elements: Shape 1 has 3 lines, Shape 2 has 4 lines
Check: Verify pattern continues logically to the fourth position ✓

Common Mistakes

Avoid these frequent errors

Looking at shapes in isolation instead of as a sequence
Don't analyze each shape separately without considering the pattern = missing the progression rule! This leads to random guessing instead of logical deduction. Always trace how each shape transforms into the next one.

Practice Quiz

Test your knowledge with interactive questions

Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

FAQ

Everything you need to know about this question

How do I identify what changes between shapes?

Look carefully at each element - count lines, observe positions, and note what gets added or moved. Compare shapes 1→2, then 2→3 to find the pattern.

What if I can't see a clear pattern?

Start simple! Count the number of lines in each shape, then look for additions. Sometimes the pattern is about position changes rather than just adding elements.

How do I know which answer choice is correct?

Apply the pattern rule you discovered to predict what the fourth shape should look like. Then match your prediction to the given choices - only one will fit!

What if multiple shapes look similar?

Pay attention to small details like line positions, connections, and orientations. Pattern problems often have subtle differences that matter for the sequence.

Can I work backwards from the answer choices?

Yes! Test each choice by asking: 'Does this shape continue the pattern I see in positions 1-3?' The correct answer will fit the established rule perfectly.

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