Math Problem Statement
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 statement is:
C. Corresponding parts of congruent figures are congruent.
Congruent figures have the same shape and size, which means that their corresponding angles are equal, and their corresponding sides are of equal length.
Would you like more details on congruent figures, or do you have any other questions?
Here are five related questions:
- How do you prove that two triangles are congruent?
- What is the difference between congruent and similar figures?
- Can two figures with different orientations be congruent?
- What are the most common congruence postulates for triangles?
- How do corresponding angles and sides help in identifying congruent polygons?
Tip: To confirm congruence, always check if all corresponding sides and angles match in length and measure, respectively.
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Math Problem Analysis
Mathematical Concepts
Geometry
Congruence
Polygons
Triangles
Formulas
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Theorems
Congruence Theorem
Suitable Grade Level
Grades 6-8