Go to:
https://www.engageny.org/resource/regents-exams-mathematics-geometry-test-guide
Open the pdf towards the bottom. It has information on the percentages that you wanted as well as:
•One of the 6-point questions is a “real world” problem (like finding the volume of a water tower or height of a lighthouse) and the other is a “non-reactive world” problem (like a proof).
•There is usually 1 construction.
Anyways, it says 2-8% circles, but I doubt there would only be 1 circles question so expect the 8%.
oh ok, but since the last exams were constructions on circles do u think they’ll change it up
Is coordinate geometry here a major thing?
tbh I do not know.
I would expect there to be one of the following (so know them all):
•Inscribed square/equilateral triangle/hexagon
•A line tangent to a circle through a given point
•Cutting a segment into n congruent parts
•Translating/reflecting a shape
•Angle bisector
•Centroid/orthocenter/circumcenter/incenter
Coordinate geometry is important. There have been 6 point questions about it. Know how to:
•Prove right triangles, parallelogram, trapezoids, rectangles, rhombuses, squares and.
•Partitioning a segment
•Circle equation
•Line equations (perpendicular/parallel)
Oh ok, you dont feel nervous about this at all?
So what are the possible constructions that will be on the test tomorrow? What should we know
I would expect there to be one of the following (so know them all):
•Inscribed square/equilateral triangle/hexagon
•A line tangent to a circle through a given point
•Cutting a segment into n congruent parts
•Translating/reflecting a shape
•Angle bisector
•Centroid/orthocenter/circumcenter/incenter
•Line parallel to a line through a point.
The link is THE BEST for constructions:
http://www.mathopenref.com/tocs/constructionstoc.html
If you want specific review on a topic, go to:
http://www.mathbitsnotebook.com
This is an excellent site and the quadrilateral proof section is just like the regents.
Note: there is some extra stuff on that website that is in common core standards but not on the regents exam like directrices, focus of a parabola, conic sections, probability, and law of cosines.
Wait law of cosines is not on the regents?
Nope. You can use it to solve a problem, but most (if not all) trig problems just use SOH CAH TOA.
Oh ok not bad all right triangles
So mean proportions would be a right triangle altitude theorem?
Yes! There are two:
(hyp seg 1)/(alt)=(alt)/(hyp seg 2)
and
(adjacent hyp seg)/(leg)=(leg)/(hyp)
Do you have to learn how to construct the orthocenter, centroids ? because they aren’t emphasized in the regents or curriculum
I would just know it. The orthocenter is the point of concurrency of the altitudes and Centroid is medians. Also, in an obtuse triangle, a side may have to be extended to find the altitude.
A common construction in the past seems to be inscribing a square. Also Trig is extremely prevalent on this test, so know SOH CAH TOA/Law of Sines and when to use them. Coordinate Geometry is often a big deal, as are triangle, parallelogram, and rhombus proofs. Similar Triangles and their proportions have also been 4 point questions before
Just a note from something kim said before-Can’t you not prove a parallelogram is a rectangle by saying the diagonals are congruent. It could be a square as well. To know that it’s a rectangle you would need a parallelogram with a right angle, right?
A square is a type of Parallelogram, as well as a rectangle
