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Analyze the geometric patterns and select the option that logically follows.
Mathematics
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4 stepsAnalyze the sequence of five symbols.
The sequence shows a progression involving a square and a triangle.
□Δ: A square and a triangle are placed side-by-side. Both are in their standard, upright orientation.□Δ: The triangle moves partially inside the square, creating an overlapping shape. Both shapes remain in their standard, upright orientation.□Δ: The combined overlapping shape (square with triangle inside) is rotated or tilted.□: The triangle disappears, leaving only the square. The square is in its standard, upright orientation.□: The square is rotated or tilted.
Identify the patterns in the sequence.
- Presence of the triangle: The triangle is present in symbols 1, 2, and 3. It is absent in symbols 4 and 5. This suggests a pattern where the triangle disappears after the third symbol. Therefore, the next symbol (6th in the sequence) should not contain a triangle.
- Orientation/Rotation: The orientation of the shapes follows a pattern:
- Symbol 1: Standard
- Symbol 2: Standard
- Symbol 3: Tilted
- Symbol 4: Standard
- Symbol 5: Tilted This pattern is "Standard, Standard, Tilted, Standard, Tilted". Following this, the next symbol should be in a Standard orientation.
Determine the characteristics of the next symbol.
Based on the patterns identified:
- The triangle should be absent.
- The remaining shape (the square) should be in its standard, upright orientation.
Compare the predicted symbol with the given options.
The options are presented in the bottom row of the image:
- Option A: A square, tilted to the right. (Incorrect orientation)
- Option B: A square, in standard, upright orientation. (Matches prediction)
- Option C: A triangle. (Incorrect shape, triangle should be absent)
- Option D: A square and a triangle, separate. (Incorrect shape, triangle should be absent)
- Option E: A square, tilted to the left. (Incorrect orientation)
The only option that matches both criteria (no triangle and standard orientation for the square) is option B.
The final answer is
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