Congruent angles
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, then they have the same number of degrees. Congruent angles can be identified by the tick marks or little arcs that are used to label them. These tick marks can either be equal in length or simply represented with the same number of arcs.
For example, if angle A and angle B have the same measure, we can say that angle A is congruent to angle B, written as ∠A ≅ ∠B.
There are different ways to work with congruent angles. Some common properties of congruent angles include:
1. Reflexive Property: Any angle is congruent to itself. For example, ∠A ≅ ∠A.
2. Symmetric Property: If two angles are congruent, they can be reversed. For example, if ∠A ≅ ∠B, then ∠B ≅ ∠A.
3. Transitive Property: If angle A is congruent to angle B, and angle B is congruent to angle C, then angle A is congruent to angle C. For example, if ∠A ≅ ∠B and ∠B ≅ ∠C, then ∠A ≅ ∠C.
Congruent angles can be used to solve various mathematical problems, including the measurement of angles in geometric figures, such as triangles and quadrilaterals. By recognizing congruent angles, you can make deductions about the properties and relationships of different angles in a figure.
Remember, to determine if two angles are congruent, you need to compare their measures. If the measures are the same, the angles are congruent.
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