The bisector ray is a basic concept in mathematics, especially in geometric subjects, often commonly applied in angular and triangular problems. To better understand the bisector rays and how to apply it in reality, the following article will explain this concept details along with the methods of determining bisector rays in geometry.
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What is bisector ray?
The bisector ray is the ray that comes from the top of the angle, dividing the angle into two smaller angles. Put simply, the bisector ray is between the two sides of a corner and creates two small corners from the original corner.
In geometry, bisector rays are often used to solve problems related to angle calculation, edge length in the triangle, or symmetry problems in complex images.
Common bisector ray classification
In geometry, people often divide the bisector rays into two common types:
The bisector of the angle
The bisector of the angle is the ray between the angle and divide the original corner into two small corners. This type of bisector ray appears common in corner problems, triangles, or symmetrical properties of the image.
Bisector line in the triangle
The bisector line in the triangle is a straight line coming from the top of the triangle, dividing the corner at that peak into two small corners and cut the opposite edge at one point. This point is called the bisector line.
How to identify simple and accurate bisector rays
To determine the bisector of any angle, you can follow the following steps:
Step 1: Determine the corner to be divided
First, you need to determine the angle that you want to draw bisectors. This angle must be clearly defined by two sides from a common peak.
Step 2: Use a compass to determine the bisector ray
- Put the pointed tip of the compa at the top of the corner, drawing an arc of any two sides of the corner.
- Continue to use the compa to take the same length, put in two cutting points to create, draw two arcs intersecting at a new point inside the corner.
- Use the ruler to connect the top of the angle with the intersection of the two arcs just defined. This is the bisector of the original corner.
The important properties of the bisector ray to remember
The bisector ray not only plays an important role in dividing the angle evenly but also has the following useful properties:
- Angle division properties: The bisector ray always divides the original angle into two equal corners.
- Symmetry: The bisector ray creates symmetrical properties through that ray, meaning that the two sides are divided by the bisector ray of symmetrical properties.
- In the triangle: The intersection of the three internal bisector lines of the triangle is the center of the circle inscribed with the triangle.
Example application of bisector rays in geometry
In advanced geometric problems, bisector rays often help accurately determine the corner and edge in the triangle, especially useful in the proof of the problem and calculate the length of the triangle.
Understand the concept of “what is bisector ray?” And how to determine the bisector ray will help you easily apply in learning as well as solve practical problems. Mastering the knowledge of bisector rays will be the foundation for you to go further in geometry and mathematics in general.
