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In congruent triangles, the sides and angles which coincide by superposition are known as:

a) Corresponding angles
b) Complementary angles
c) Congruent angles
d) Corresponding sides

1 Answer

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Final Answer:

In congruent triangles, the sides and angles which coincide by superposition are known as:

c) Congruent angles

Explanation:

In congruent triangles, the sides and angles which coincide by superposition are known as:

c) Congruent angles

Congruent triangles are identical in shape and size. When we say that two triangles are congruent, it means that each corresponding side and angle of one triangle coincides with the side and angle of the other triangle. In this context, congruent angles refer to the angles that match exactly when the triangles are superimposed. Therefore, option (c) "Congruent angles" is the correct answer.

In congruent triangles, the concept of superposition is crucial. Superposition involves aligning corresponding parts of two figures exactly on top of each other. When the angles coincide in this manner, they are considered congruent. This concept is fundamental in geometry and is used to establish the equality and similarity of geometric figures.

Understanding congruent angles is essential not only for geometry but also for solving various mathematical problems involving triangles. It provides a basis for proving the congruence of triangles and, consequently, for deducing other properties and relationships within the realm of geometry. In summary, recognizing congruent angles is a key aspect of working with congruent triangles and plays a significant role in geometric reasoning.

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