Definition of angle bisector:
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. To construct an angle bisector you need a compass and straightedge.
Definition of midpoint:
Midpoint of a line segment is the point that is halfway between the endpoints of the line segment. A line segment has only one midpoint. If AB is a line segment and P is the midpoint, then AP = BP =
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The midpoint or bisector divides a segment into two congruent parts.
So that the arc is mid-way in perpendicular to the line segment
Given a straight line joining the points A and B, the perpendicular bisector is a straight line that passes through the mid-point of AB and is perpendicular to AB.
Mid Point Definition: The point halfway between the endpoints of a line segment is called the midpoint. A midpoint divides a line segment into two equal parts. Mid Point Formula: MidPoint where (x1, y1) (x2, y2) be the end points of a line segment. MidPoint Diagram Mid Point Example: Find the coordinates of the midpoint of the line joining (-1, -3), (-5, -7). x1 = -1, y1 = -3 and x2 = -5, y2 = -7 Substitute in the formula as : The above example will clearly illustrates how to calculate the Coordinates of MidPoint manually.
The base of the triangle equals (2x) the mid-segment, so.... 12/2 = 2x/2 6= x