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