Which option completes the pattern for…

Mathematics Questions

Which option completes the pattern for question mr.21?

Short Answer

This answer outlines a three-step approach to identifying a pattern in drawings, focusing on their balance and fan-like characteristics. By analyzing rows and columns, the conclusion is drawn that only Option 1 meets the criteria of being balanced and maintaining a fan-like structure divided into six sections.

Step-by-Step Solution

Step 1: Analyze the Pattern

Begin by visually inspecting the given pattern to identify how it changes from one row to the next. Note the characteristics of each row, focusing on the stability of the drawings. Specifically, observe:

  • The first row features drawings that are balanced.
  • The second row displays tilted drawings, indicating instability.
  • The third row returns to balanced drawings, creating a cyclic pattern.

Step 2: Identify Key Features

Next, evaluate the features of the drawings in the columns. Look closely at the third column, where the drawings are fan-like shapes divided into six equal portions. It’s essential to recognize that these characteristics must remain consistent across the rows to maintain the identified pattern. The features include:

  • All drawings must be well-balanced in the subsequent missing shape.
  • The drawings must retain the fan-like quality with six sections.

Step 3: Determine the Correct Option

Finally, assess the options available to find which one meets both conditions. Check each option against your analysis of balance and shape characteristics. In this case, the only choice that satisfies both the balance and the fan-like division is:

  • Option 1, as it fulfills the requirements established by the examined pattern.

Related Concepts

Pattern analysis

The process of visually inspecting a given arrangement to identify changes and characteristics across different elements or stages.

Balance

A condition where the elements of a drawing or design are evenly distributed, creating visual stability and symmetry.

Fan-like shape

A design that resembles the structure of a fan, often divided into multiple equal sections, used to convey a specific aesthetic or functional characteristic.

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