An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
In the construction of an angle bisector, segment EB is equal in length to segment FB when the bisector is drawn from the vertex of the angle to the opposite side. This is because the angle bisector divides the angle into two equal parts, and the segments on either side of the bisector are proportional to the adjacent sides of the angle. Therefore, EB and FB maintain a specific ratio that reflects the lengths of the other two sides of the triangle formed.
By definition, a segment bisector always created two congruent segments.
Indeed they do.
A bisector cuts a line SEGMENT into two congruent line segments. A line has indefinite or infinite length.
No. All segments have only one perpendicular bisector.
In the construction of an angle bisector, segment EB is equal in length to segment FB when the bisector is drawn from the vertex of the angle to the opposite side. This is because the angle bisector divides the angle into two equal parts, and the segments on either side of the bisector are proportional to the adjacent sides of the angle. Therefore, EB and FB maintain a specific ratio that reflects the lengths of the other two sides of the triangle formed.
By definition, a segment bisector always created two congruent segments.
Indeed they do.
A bisector cuts a line SEGMENT into two congruent line segments. A line has indefinite or infinite length.
No. All segments have only one perpendicular bisector.
The altitude is the segment from an angle of a triangle to the side opposite of the angle which is intersected perpendicularly by the altitude., the angle bisector cuts an angle into two congruent angles, and a median forms two congruent line segments.
Every line bisector divides a line into two halves: by definition!
To prove that opposite segments (angles) are equal to 180 degrees, you can use the concept of supplementary angles. If two angles are formed by intersecting lines, the angles opposite each other (vertical angles) are equal, while the adjacent angles formed by the intersection are supplementary. Thus, if you take one angle and its adjacent angle, their sum is 180 degrees. Therefore, the opposite angles must also relate in such a way that they collectively sum to 180 degrees, reinforcing the idea that opposite segments are equal to 180 degrees.
yes
the bisector
Yes. It does.
If it's a right angle triangle then the sides are: opposite, adjacent and hypotenuse which is the longest side