G.1.7.2 It's cool to be square.
Use compass and straightedge moves to construct a
square with segment AB as one of the sides. Remember - constructions use
construction tools - your picture must not just look like a square -
there should be lots of circles and lines (those are the constructions).
Try to construct a square on your own above, but if you need a little help, work on the applet below. Segment AB has been extended into a line. Then we created circle A, which intersects line AB at point C and D.
Now you should construct a line perpendicular to line AB that passes through point A.
Now take over on your own.
One more hint: construct another perpendicular line.
Attribution
illustrative mathematics. geometry. unit 1. section 7. activity 2.
"It's cool to be square"
https://im.kendallhunt.com/HS/teachers/2/1/7/index.html
Licensed under the Creative Commons Attribution 4.0 license
https://creativecommons.org/licenses/by/4.0/