Question

PLEASE HELP

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.

Construct a circle with point H as the center and a circle with point J as a center with each circle having radius HJ

.

Construct horizontal ​ HJ ¯¯¯¯¯ ​

Construct a circle with point M as the center with radius MJ .

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.

Construct KL ¯¯¯¯¯ , the perpendicular bisector of ​ HJ ¯¯¯¯¯ ​, intersecting​ ​ HJ ¯¯¯¯¯ ​ ​​at point M.

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.

Answer 1

To construct the Square using a compass and straight edge, you have written the steps not in proper order. I am rearranging the steps for you

1. Construct horizontal ​ H J¯¯¯¯¯

2. ​Construct a circle with point H as the center and a circle with point J as a center with each circle having radius 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 .