Why are vertical angles always congruent?
Understand the Problem
The question is asking for an explanation of the property of vertical angles and why they are always congruent. Vertical angles are formed when two lines intersect, and the question seeks to understand the geometric reasoning behind their congruence.
Answer
Vertical angles are congruent.
The final answer is that vertical angles are congruent due to their geometric properties of being opposite angles formed by intersecting lines, leading to equal measures.
Answer for screen readers
The final answer is that vertical angles are congruent due to their geometric properties of being opposite angles formed by intersecting lines, leading to equal measures.
More Information
Vertical angles arise in many practical applications, such as engineering and architecture, where precise angle measurements are crucial.
Sources
- Theorem, Proof, Vertically Opposite Angles - Cuemath - cuemath.com
- Explain why vertical angles must be congruent [closed] - math.stackexchange.com
- Vertical Angles - Definition, Theorem & Examples - Tutors - tutors.com
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