The most important things is the stuff that consistently shows up on the exam:
Remember how to partition a line segment into a given ratio. If you have not already taken a practice regents exam, do so and specifically memorize the steps (whether you use the graph or not) to partition a line segment.
Remember all the reasons in proofs. If you do not know how to do a proof, try to look for triangles which could possibly be similar / congruent and CPCTC.
Remember all the trig ratios and practice algebraic applications such as question #36 on the January '16 exam.
Remember that angle measure, parallel lines (including slope), and side length proportion are preserved in similarity transformations (dilations).
Remember that shapes are congruent if they can mapped onto one another by a series of rigid motion transformations (reflection, translation, rotation). The regents likes to ask a question like “use the properties of rigid motion to explain why triangle ABC is congruent to triangle A’B’C’”.
Density also continuously shows up. The formula for density is density = (mass)/(volume). There are also applications like population density, where population density = (population)/(area).
!!!USE UNITS AND PAY ATTENTION TO HOW THEY WANT YOU TO ROUND!!!
Remember that a quadrilateral is a parallelogram if: its diagonals bisect each other (have the same midpoint), has two pairs of opposite congruent sides, has two pairs of opposite parallel sides, has one pair of opposite sides BOTH parallel and congruent, or both pairs if opposite sides are congruent.
A parallelogram is a rectangle if: its diagonals are congruent, or it has a right angle (a pair of consecutive sides are perpendicular).
A parallelogram is a rhombus if a pair of consecutive sides are congruent, a diagonal bisect a pair of opposite angles, or the diagonals are perpendicular.
Remember every construction, including: perpendicular bisector, altitude of a triangle, angle bisector, median of a triangle, a line tangent to circle from a point, a line parallel to a line through a given point, inscribed triangle, hexagon, square, copying an angle, translating a triangle, dividing a segment into n congruent parts.
Probably the most important thing is using scale factors and similarity theorems in triangles. There are usually ~6 MC questions and a couple SA on this.