Math Problem Statement

  1. Which of the following statements is true about congruent figures? A. Corresponding parts of congruent figures are even. B. Corresponding parts of congruent figures are proportional. C. Corresponding parts of congruent figures are congruent. D. Corresponding parts of congruent figures are negative reciprocals.

Solution

The correct answer is:

C. Corresponding parts of congruent figures are congruent.

This means that for two figures to be congruent, all their corresponding sides and angles must be exactly the same in size and shape.

Would you like further clarification or details on congruent figures?

Here are 5 related questions for deeper understanding:

  1. What is the difference between congruent and similar figures?
  2. How can you prove two triangles are congruent?
  3. What are the properties of congruent polygons?
  4. Are all corresponding parts of congruent figures equal in length?
  5. Can a figure be congruent to its reflection?

Tip: When working with congruent shapes, remember that both the size and shape of corresponding parts must match perfectly.

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Math Problem Analysis

Mathematical Concepts

Congruence
Geometry
Corresponding Parts

Formulas

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Theorems

Congruent Figures Theorem

Suitable Grade Level

Grades 6-8