Name the theorem: Vertical angles are congruent.
The theorem that states “Vertical angles are congruent” is known as the Vertical Angles Theorem
The theorem that states “Vertical angles are congruent” is known as the Vertical Angles Theorem.
Definition:
Vertical angles are a pair of opposite angles formed by the intersection of two lines, where each angle is formed by a pair of opposite rays. The opposite rays create two pairs of vertical angles, sharing the same vertex but having different rays.
The Vertical Angles Theorem states that when two lines intersect, the vertical angles formed are congruent. In other words, the measures of vertical angles are equal.
When working with vertical angles, we can use this theorem to determine the measurements of unknown angles. For example, if we have one angle and its measure, we can find the measure of the vertical angle by applying the Vertical Angles Theorem.
It is important to note that vertical angles are not adjacent angles, which are angles that share a common vertex but have a common side. Vertical angles are formed on opposite sides of the intersection.
Remembering and applying the Vertical Angles Theorem can be useful in various geometry problems and proofs, as it allows us to establish relationships among angles formed by intersecting lines.
More Answers:
Understanding the Antecedent and Consequent in Conditional Statements+Understanding Implications in Mathematics | Exploring the if p then q Statement and Logical Relationships
Mastering Various Methods of Mathematical Proofs | Direct Proof and Indirect Proof