Toll free: 1- 877- 252 - 7763 | Fax: 1- 425- 458- 9358

Get customized homework help now!

Segment and Angle Bisectors:

Segments

A line segment is a part of a line that has two endpoints. The two endpoints of the line segment are used to name the line segment. A line has no endpoints, therefore it cannot be measured. But a line segment has two endpoints and hence the length can be measured.

Types of line segments

There are so many types of segments according to their properties. Some line segments will meet at a point. So they are called intersecting line segments.

When three or more lines meet at the same point, they are called concurrent line segments.

When two line segments intersect to form a right angle, it is called perpendicular line segment.

Two line segments which do not intersect but are on the same plane are called parallel line segments.

Two line segments which cannot intersect as they are on the different planes are called skew line segment.

Two line segments which are of the same length are called congruent line segments.

Angle bisectors

An angle bisector in a triangle is a segment drawn from a vertex that bisects (cuts in half) that vertex angle. Every triangle has three angle bisectors. In every triangle, the three angle bisectors meet in one point inside the triangle.

For every angle, there exists a line that divides the angle into two equal parts. This line is known as the angle bisector. In a triangle, there are three such lines. Three angle bisectors of a triangle meet at a point called the incenter of the triangle.

In general, altitudes, medians, and angle bisectors are different segments. In certain triangles, though, they can be the same segments. The altitude drawn from the vertex angle of an isosceles triangle can be proven to be a median as well as an angle bisector.

Angle Bisector Postulate states that there exists only one angle bisector with each angle.
Any point on an angle bisector is equidistant from both the arms of the angle.

Search Our Solution Library for Sample Solutions in: Segment Angle Bisectors

Name* :
Email* :
Country* :
Phone* :
Subject* :
Due Date*
Time
AM/PM
Timezone
Type Your Questions OR Instructions Below
 (Type Security Code - case sensitive)
Note: We will not do your assignment for you. We will only help you understand the steps to solve it.
 Courses/Topics we help on Discrete Mathematics Applied Calculus I Applied Calculus II Healthcare Statistics and Research Advanced Engineering Mathematics I Advanced Engineering Mathematics II Introduction to Algebra Basic Algebra Algebra for College Students Algebra for College Students Pre-Calculus Statistics for Decision-Making Polar Co-ordinates Area in Polar Coordinates Solving Systems of Equations Systems of Inequalities Quadratic Equations Matrices and System of Equations The Determinant of a Square Matrix Cramer's Rule Ellipse Hyperbola Rate of Change Measurement of Speed Finding Limits Graphically Higher Order Derivatives Rolle's Theorem and Mean Value Theorem Concavity and Second Derivative Test Limits at Infinity Indefinite Integration Definite Integration Integration by Substitution Area of a Region Between Two Curves Volume by Shell Method and Disc Method Integration by Parts Trigonometric Integration Differential Equations Slope Fields Growth and Decay System of Differential Equations Parametric Equations Complex Numbers The Inverse of a Square Matrix Parabola Functions and Their Graphs Evaluating Limits Analytically Increasing and Decreasing Functions Newton's Method Finding Area Using Integration Numerical Integration Moments Partial Fractions Separation of Variables Second Order Differential Equations IB Maths