What are the steps for using a compass and straightedge to construct a square? Drag the steps and drop them in order from start to finish. (A) construct a circle with point H as the center and a circle with point J as a center with each circle having radius HJ .(B) Construct horizontal ​ HJ¯¯¯¯¯ ​(C) Construct a circle with point M as the center with radius MJ .(D) Label the point of intersection of the two circles above​ ​ HJ¯¯¯¯¯ ​​, point K, and the point of intersection of the two circles below ​ HJ¯¯¯¯¯ ​, point L.(E) Construct KL¯¯¯¯¯ , the perpendicular bisector of ​ HJ¯¯¯¯¯ ​, intersecting​ ​ HJ¯¯¯¯¯ ​ ​​at point M.(F) Construct HN¯¯¯¯¯¯ , NJ¯¯¯¯¯ , JO¯¯¯¯¯ , and OH¯¯¯¯¯¯ to complete square HNJO .Label the point of intersection of circle M and ​ KL¯¯¯¯¯ ​ closest to point K, point N, and the point of intersection of circle M and ​ KL¯¯¯¯¯ ​ closest to point L, point O.

Question
Answer:
The steps for using a compass and straightedge to construct a square are as following: 1) Construct a circle with point H as the center and a circle with point J as a center with each circle having radius HJ.
2) Construct horizontal HJ¯¯¯¯¯ ​
3) Label the point of intersection of the two circles above​ ​ HJ¯¯¯¯¯ ​​, point K, and the point of intersection of the two circles below ​ HJ¯¯¯¯¯ ​, point L.
4) Construct KL¯¯¯¯¯ , the perpendicular bisector of ​ HJ¯¯¯¯¯ ​, intersecting​ ​ HJ¯¯¯¯¯ ​ ​​at point M.
5) Construct a circle with point M as the center with radius MJ.
6) Label the point of intersection of circle M and ​ KL¯¯¯¯¯ ​ closest to point K, point N, and the point of intersection of circle M and ​ KL¯¯¯¯¯ ​ closest to point L, point O.
7) Construct HN¯¯¯¯¯¯ , NJ¯¯¯¯¯ , JO¯¯¯¯¯ , and OH¯¯¯¯¯¯ to complete square HNJO .
solved
general 11 months ago 6419