Answered

IDNLearn.com: Your trusted source for finding accurate answers. Find reliable solutions to your questions quickly and easily with help from our experienced experts.

How do you prove that a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects?

will ACTUALLY GIVE YOU BRAINLY AND EVERYTHING​

Sagot :

Step-by-step explanation:

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. If CP is the perpendicular bisector of AB, then CA = CB. If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

SmartStudent3245idn

Answer:

Check the picture drawn

Consider the line segment AB,  

let M be the midpoint of AB, so AM=MA

erect the perpendicular MT to AB from point M. Pick a point P on MT and join it to the points A and B

The triangles PMA and PMB are congruent from the Side Angle Side congruence postulate:

AM=MA, PM is common and m(PMA)=m(PMB)=90°, as MT is perpendicular to AB

so PA=PB

Step-by-step explanation:

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.