Which sentence states a property or a definition used in the construction of a perpendicular bisector?
a) a line that intersects a line segment at an angle of 90° is parallel to the line segment.
b) a line that bisects a line segment is necessarily perpendicular to the line segment.
c)
any two points equidistant from the midpoint of a line segment lie on its perpendicular bisector.
d)any point on a perpendicular bisector is equidistant from each endpoint of the line segment.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.