Which of the following is the perpendicular bisector theorem?

a) if a point is equidistant from the endpoints of the segment, then it lies on the perpendicular bisector of that segment.

b) if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

c) if a point is on the perpendicular bisector of a segment, then it is proportional from the endpoints of the segment.

d) if a point is proportional from the endpoints of the segment, then it lies on the perpendicular bisector of that segment.

Solution:- Option B) is the right answer . "If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment."

Explanation:-

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's both endpoints.

Option A) tells the converse of perpendicular theorem which states that if a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

146%

step-by-step explanation:

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10