Math Problem Statement
Solution
This image seems to be a pattern recognition problem asking to identify and draw the next figure in each row. Let's analyze each row and figure out the correct pattern:
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Row 1: The shapes alternate between a triangle with a small circle and just a triangle. The triangles are rotating clockwise by 45 degrees in each step. The next shape should be just a triangle rotated 45 degrees from the previous one, with no small circle.
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Row 2: The shapes alternate between a star and an increasing number of points on the star (from 4 to 5 to 6). The next figure should be a 7-pointed star.
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Row 3: The rectangles are consistently placed but have changing widths. The width increases with each figure. The next rectangle should have a wider base than the previous one.
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Row 4: The diamond shapes are increasing in width (elongation horizontally). The next figure should be a wider diamond, with a more stretched horizontal axis.
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Row 5: The circles are concentric, with an increasing number of rings. The first has none, the second has one ring, and the third has two rings. The next shape should be a circle with three concentric rings.
Here are five related questions:
- What pattern are you noticing in terms of rotational symmetry in the first row?
- How does the number of star points increase systematically in the second row?
- Can you identify a geometric sequence in the dimensions of the rectangles in the third row?
- How is the symmetry changing in the diamond shapes from row four?
- What is the rule for adding rings to the circles in the fifth row?
Tip: Always observe both shape transformation and positional changes when working with patterns.
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Math Problem Analysis
Mathematical Concepts
Pattern Recognition
Geometric Transformation
Rotational Symmetry
Formulas
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Theorems
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Suitable Grade Level
Grades 5-7