Answer:
A line segment that forms a right angle with another segment at its midpoint is a perpendicular bisector.
Step-by-step explanation:
Given : A line segment that forms a right angle with another segment at its midpoint.
To find : The line segment forms with another line segment ia a ?
Solution :
When a line segment that forms a right angle with another segment at its midpoint divides the line into two equal parts.
Let a line segment AB and another line segment CD.
CD divide the AB into equal parts i.e, D is the mid point and AD=DB.
Now, CD forms a right angle on line segment AB i.e, CD bisects the AB
Right angle is form means Perpendicular bisector form.
By definition of a perpendicular bisector - A line which cuts a line segment into two equal parts at 90°.
Therefore, A line segment that forms a right angle with another segment at its midpoint is a perpendicular bisector.
Refer the attached figure below.
