[i][size=150][b]Given the segments of lengths 1 and b below, use straightedge and compass ONLY to construct a segment of length [/b][math]\sqrt{b}[/math][/size][/i][b]. [/b][br][br][i]Show all construction steps and use color or other formatting to highlight your final answer. Make sure you know how to [b]prove[/b] your segment has the desired length. [/i]

[b][i][size=150]In the figure below, move point C around. What do you notice? Can you prove it? [/size][/i][/b]

[b][i][size=150]In the figure below, move point C around. What do you notice? Can you prove it? [/size][/i][/b]