Question

HELP ASAP! Draw AB and construct its perpendicular bisector. Identify point C on the bisector. Measure the distance from point C to point A and from point C to point B. What theorem does your measurement justify? Explain your answer.

Answer 1

Pythagorean theorem

Explanation:

Since perpendicular segment is bisector of AB, the distance from A and B to the intersection is equal

Also the angle between those lines is right angle

The distance from C to AB is the line segment that is common side of the triangles formed by connecting end points

So the distance AC = BC as hypotenuse of congruent right triangles

This measurement justifies Pythagorean theorem