Congruent Angles Theorem
Several theorems rely on congruent angles to determine whether two angles are congruent or not. These theorems include:
- Vertical Angles Theorem: This theorem states that vertical angles, formed by the intersection of two lines, are congruent.
- Corresponding Angles Theorem: When a transversal intersects two parallel lines, corresponding angles are congruent.
- Alternate Angles Theorem: Alternate interior and alternate exterior angles, formed when a transversal intersects two parallel lines, are congruent.
- Congruent Supplements Theorem: If two angles are supplements of congruent angles (i.e., they add up to 180 degrees), then the two angles are congruent.
- Congruent Complements Theorem: If two angles are complements of congruent angles (i.e., they add up to 90 degrees), then the two angles are congruent.
Congruent Angles
Congruent angles are angles that have equal measure. Thus, all the angles in the geometry that have sam measure are called congruent angles.
In this article, we will understand the meaning of congruent angles, their properties, the congruent angles theorem, the vertical angles theorem, the corresponding angles theorem, and the alternate angles theorem.
Table of Content
- What are Congruent Angles?
- Congruent Angles Theorem
- Vertical Angles Theorem
- Corresponding Angles Theorem
- Alternate Angles Theorem
- Congruent Supplements Theorem
- Congruent Complements Theorem
- How to Find Congruent Angles
- Constructing Congruent Angles
- Construction of a Congruent Angle to the Given Angle
- Construction of Two Congruent Angles
- Congruent Angles Properties
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