Proving two angles congruent is an important concept in geometry as it helps prove theorems and solve problems. To be able to prove congruent angles, you must have a firm understanding of the definition of congruent and the properties of angles. In this article, we will discuss the key concepts and properties needed to use in practice 2-5 proving angles congruent.

## Definition of Congruent

Congruent is an important concept in geometry that means two objects have the same size and shape. In the context of angles, this means that two angles have the same measure. When two angles are congruent, we use the symbol “≅” to denote that they are equal. For example, if angle A = 60° and angle B = 60°, then angle A ≅ angle B.

## Angle Properties

In order to prove two angles congruent, it is important to understand the properties of angles. Some of these include the reflexive property, which states that an angle is equal to itself, and the transitive property, which states that if two angles are equal to a third angle, then they are equal to each other. Additionally, angles that are formed by two intersecting lines are called vertical angles and are always congruent. Finally, angles that are formed by two parallel lines and a transversal are called corresponding angles, and they are also always congruent.

## Practice 2-5

In practice 2-5, you must use the definition of congruent and the angle properties to prove two angles congruent. This exercise usually starts with given information that tells you what angles are congruent, and then you must use the properties to prove that the angles are equal. Additionally, you may be asked to find a missing angle measure, which you can do by using the properties of angles and the given angle measure.

In conclusion, practice 2-5 proving angles congruent is an important concept in geometry. To be able to prove two angles congruent, you must have a firm understanding of the definition of congruent and the properties of angles. By using these two concepts, you will be able to solve any given problem and prove any theorem.

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