Answer:
The reason a valid straightedge and compass moves guarantees everyone will produce the same construction is that constructions involving the use of straightedge and compass comprises of a total of five fundamental constructions that are formed with the already constructed points, circles or lines such as the following;
1) Construction of a line that passes through given points
2) Construction of a through a given point and center
3) Creating the point of intersection of two given nonparallel lines
4) Constructing the points of intersection between a line and a circle
5) Constructing the points of intersection of two circles
Due to the limited number of types of construction, following clearly defined steps of construction, ensures that the same construction is produced by everyone
Explanation: