## Congruent angles Chapter 1 (p. 38)

### Congruent angles are angles that have the same measure

Congruent angles are angles that have the same measure. In other words, if two angles are congruent, it means that they have the same number of degrees.

To determine if two angles are congruent, we need to compare their measures. If the measures of two angles are the same, then we can say that they are congruent.

Congruent angles are denoted by placing an equal sign between their angle symbols. For example, if angle A is congruent to angle B, we write it as:

∠A = ∠B.

There are different ways to prove that two angles are congruent. Some common methods are:

1. Using the definition of congruent angles: If two angles have the same measure, they are congruent.

2. Using angle addition or subtraction property: If two angles have equal sums or differences, they are congruent.

3. Using the properties of parallel lines: When a transversal (a line that intersects two or more lines) cuts two parallel lines, certain angles formed will be congruent.

4. Using the properties of isosceles triangles: In an isosceles triangle, the base angles (angles opposite the equal sides) are congruent.

It is important to use proper notation when indicating congruent angles. The angle symbols (∠) are used to represent angles, while letter names are used to identify specific angles in a figure or problem.

Congruent angles play a crucial role in geometry and can be used to prove various geometric theorems and solve problems involving angles.

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