Math Problem Statement

Which of the following statements is true about congruent figures?

Solution

The question asks which statement is true about congruent figures. The correct answer, marked as option C, is:

"Corresponding parts of congruent figures are congruent."

This is indeed correct. Congruent figures have identical shapes and sizes, meaning that their corresponding angles and sides are exactly equal.

The other options are incorrect for the following reasons:

  • A: "Corresponding parts of congruent figures are even" is incorrect because "even" refers to numbers, not a geometric property.
  • B: "Corresponding parts of congruent figures are proportional" applies to similar figures, not congruent ones.
  • D: "Corresponding parts of congruent figures are negative reciprocals" is incorrect as this concept is unrelated to congruence but instead might refer to slopes in geometry.

Would you like more details on this? Here are 5 related questions:

  1. What is the difference between congruent and similar figures? 2

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Math Problem Analysis

Mathematical Concepts

Congruent Figures
Geometry

Formulas

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Theorems

Congruence Theorem

Suitable Grade Level

Grades 6-8