Math Problem Statement

Which one of these pictures is not like the others?

Solution

The image shows three different sets of overlapping circles labeled "L," "M," and "N." The question is asking which picture is different from the others.

Upon inspecting the three:

  • Picture L consists of two circles, one smaller inside the other, without any overlap between the two circles.
  • Picture M consists of two circles that are overlapping each other.
  • Picture N also consists of two overlapping circles, similar to Picture M, but with a larger scale.

Based on these observations, Picture L is different because the two circles in Picture L do not overlap, while in both Picture M and Picture N, the circles overlap.

Would you like further clarification or details?

Here are 5 relative questions for further understanding:

  1. What does the term "overlapping" mean in geometry?
  2. How do you calculate the area of overlap between two circles?
  3. What geometric properties can be observed when two circles overlap?
  4. Can two circles be tangent to each other and still overlap?
  5. What are some real-life examples of overlapping circles?

Tip: When comparing shapes or figures, always look for key differences in size, placement, and interaction between the shapes (e.g., overlapping or tangency).

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle Overlap

Formulas

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Theorems

Geometric Properties of Circles
Circle Overlap

Suitable Grade Level

Grades 5-7