Math Problem Statement

Which shape is congruent to shape A?

Solution

To determine which shape is congruent to shape A, let’s examine the shapes carefully to see which one has the same size and structure as A.

Analysis:

  • Shape A is an "L" shape with one short and one long segment.
  • To be congruent, another shape should match both the dimensions and orientation (or be a rotated/reflected version).

Observations:

  • Shape B has a similar "L" form, but it’s oriented differently and has the same structure and block count as shape A.
  • Shape C and Shape D are "L" shapes but with different proportions.
  • Shape E is a rectangle and does not match the "L" shape structure of A.

Conclusion:
Shape B is congruent to shape A because it has the same structure, size, and can be rotated to match the orientation of A.

So, the answer is B: Shape B.


Would you like more details or have questions about congruence? Here are some related questions for further exploration:

  1. How can you determine congruence between shapes with different orientations?
  2. What is the difference between congruence and similarity in geometry?
  3. How can transformations (like rotation, reflection) affect congruence?
  4. What other properties besides shape and size can help in determining congruence?
  5. How would congruence work with more complex polygons?

Tip: When identifying congruent shapes, look for matching lengths and angles, even if they are rotated or reflected.

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Math Problem Analysis

Mathematical Concepts

Geometry
Congruence
Transformations

Formulas

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Theorems

Congruent Shapes Theorem

Suitable Grade Level

Grades 5-6