The figure below shows line t, which intersects segment ab:

segment ab is intersected by line t. point c is on line t. in the image above, line t is a perpendicular bisector and angle 4 is congruent to angle 6. write a paragraph to prove that point c is equidistant from points a and b. (10 points)

Answer with Step-by-step explanation:

We are given that line t intersects the segment AB.

A point C lie on the line t.

We have to write a paragraph to prove that the point C is equidistant from the point A and B.

Perpendicular bisector theorem:If a point lie on the perpendicular bisector line segment  then the point is equidistant from the endpoints of line segment.

We are given

(linear pair)

Substitute the value

By using perpendicular bisector theorem,

Point C is equidistant from the point A and B.

Hence, proved

answer: b

step-by-step explanation:

apex answer is: true.