I was intending to post tips but I don't want to give too much because this is for extra credit - in other words, not required. Let's just cover the basics:

1.  An equilateral triangle is made by starting a working line of random length and keeping the compass set to that radius the whole time.  One X is all it takes.
2.  An inscribed circle comes from finding the incenter, that is, finding the intersection of the angle bisectors. It is easier to do the circumcenter first though because you can use a perpendicular segment to find the perfect length for the inside circle.  But, hey, wait a minute, isn't the triangle supposed to be equilateral for the first construction?!  There's some connection between incenter and circumcenter for an equilateral triangle.
3.  To construct a square, it might be easiest to construct two congruent diagonals that are perpendicular to each other.  Faster than working with sides.
4.  Rhombi (isn't that the plural of rhombus??) are easiest to draw with diagonals too.  Remember the question on the quarter exam?
5.  Remember the short cut for the circumcenter of a right triangle.
6.  Warning:  If you google "How to construct an equilateral triangle inside a circle", you might come to a schnazzy site that looks cool but goes the long way.  You'd be better off starting at the center and lightly drawing a radius.  Construct a 120 degree angle on it and.... You can divide the circle into thirds and connect the dots.

Hope this helps a little (and not any more!)

Mrs. Dant