Main Answer:
Three pairs of congruent vertical angles are formed when two lines intersect at one point. the correct answer is C. 3.
Therefore, the correct answer is C. 3.
Explanation:
In the given scenario, the correct answer is C. 3. When two lines intersect at a single point, they form four angles, and each pair of congruent vertical angles consists of two angles that are opposite each other. Therefore, there are three pairs of congruent vertical angles created.
When two lines intersect, they create four angles. Vertical angles are formed when two lines intersect, and these angles are congruent. Since there are four angles created at the intersection point, there are three pairs of congruent vertical angles. Each pair consists of two angles that are opposite each other, sharing a common vertex and having equal measures.
Understanding this concept is crucial in geometry, as it helps in solving problems related to angles formed by intersecting lines. Recognizing the congruence of vertical angles aids in various geometric proofs and theorems. This fundamental principle holds true in any situation where two lines intersect, providing a consistent framework for analyzing angles and relationships between intersecting lines.
In conclusion, when two lines intersect at one point, the number of pairs of congruent vertical angles created is three. This understanding is essential for mastering geometric principles and problem-solving in related contexts.
Therefore, the correct answer is C. 3.