Question

in the diagram below, the perpendicular bisectors intersect at point o and are shown dashed. find the missing lengths in the figure.*** just type the numbers and nothing else. some answers may be used again.

Explanation:

Step1: Use the property of perpendicular bisectors

Since \(O\) is the intersection of perpendicular bisectors, \(MQ = QN\), \(MS=SS'\) (assuming the perpendicular bisector property for the other sides). Given \(MQ = 20\), so \(QN=20\).

Step2: Another property application

For the side \(MN\)'s perpendicular bisector \(OQ\), and for the other sides, if we consider the segments related to the perpendicular bisectors (e.g., if there is a segment equal to \(MP\) due to perpendicular - bisector - related congruency, but since \(MP = 22\), and using the fact that the lengths from the vertices to the points on the perpendicular bisectors (in terms of segment - equality because of perpendicular bisectors)

Answer:

20 22 26 20