Math Problem Statement

What is the answer

Which shape below is similar to shape S?

Solution

In this problem, you are asked to identify which shape among those labeled A through F is similar to shape S. Two shapes are considered similar if they are the same shape and only differ in size or orientation but maintain proportionality.

From the given image, shape S is a simple three-block L-shape. Comparing this to the other shapes:

  • Shape A is a larger configuration of multiple blocks.
  • Shape B is a complex shape that doesn't match S.
  • Shape C is a simple L-shape but larger, fitting the similarity criteria.
  • Shape D is a T-shape.
  • Shape E is another complex configuration of blocks.
  • Shape F is a mirror image of a T-shape.

Thus, Shape C is similar to shape S because it retains the L-shape and is simply a scaled-up version of S.

Would you like to learn more about how similarity is determined in geometric shapes or have any other questions? Here are some related queries you might consider:

  1. What defines geometric similarity in more complex shapes?
  2. How does scaling affect the properties of geometric shapes?
  3. Can rotation and reflection create similar shapes?
  4. What is the difference between similar shapes and congruent shapes?
  5. How can the concept of similarity be applied in real-world scenarios?

Tip: When checking for similarity in geometric figures, always look for consistent proportional relationships and parallel corresponding angles across the shapes.

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Math Problem Analysis

Mathematical Concepts

Geometric similarity
Proportional scaling
Shape orientation

Formulas

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Theorems

Similarity theorem (geometric shapes)

Suitable Grade Level

Grades 5-7