June 2016 Geometry (Common Core) Regents

The test will be Friday Afternoon. Please share your thoughts about the exam questions here. I will try to post all the answers a bit after the exam ends.

If you can / have the time to do so, try to store the answers to the MC’S in your graphing calculator so we can compare answers. Do this by creating a program.

IMPORTANT: If anyone plans to disclose questions about the test, this can only be done after the uniform admission deadline (2:00 pm).

Good luck!!!

I still havent studied *-:slight_smile:

I was planning on doing the calculator thing. My teacher said we might see something on constructing a transformation, so maybe just keep an eye on that. Not too worried right now

How do you construct a transformation?

Reflection- drop a perpendicular from the point(s) to the line of reflection
Translation- use the vector they give you
I forgot rotation, i need to study that one

Rotation is usually on the coordinate plane. Here are the rules (all counterclockwise in degrees)

90: (a,b) --> (-b,a)
180: (a,b) --> (-a,-b)
270: (a,b) --> (b,-a)

Is it necessary to know those because they never appeared on the past regents

That is just a trick for doing these quickly. For example, #11 on the January '16 exam had a question like: “rectangle ABCD is rotated 90 degrees clockwise about the origin, which of the following are true” and you have to find a coordinate of the image.

If you do not want to memorize those, you can always use the scrap paper at the end of the booklet.

Oh thank you! What other tricks should we keep in mind during the test?

Anyone have any idea of the need-to-know constructions

Yeah, I hate constructions…

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.

So the regents on Friday is very similar to the past common core regents?

Here is an AMAZING link to constructions:
http://www.mathopenref.com/tocs/constructionstoc.html

It should be pretty similar to the past common core ones. Like in Algebra 1 last year, NYSED likes to put in a couple questions with topics not previously tested into new regents exams that are harder (like the hard trig question, #36, in the January '16 exam).

Law of Sines made it 1000x easier (I’m in an honors class, so we do stuff not in the traditional curriculum)

What should we do to prepare for the exam? I’m not sure where to begin.

@alexhuang76 take the common core geometry regents exams which have been released at:
http://www.nysedregents.org/geometrycc/

Treat it like a real regents exam by timing yourself, not using notes, and using pen on everything except for graphs and drawings. Grade your exam and study what you missed.

@J1234567890 I watch a ton of Khan Academy and also knew the law of sines. You could also 'indirectly" use the law of sines by drawing in an altitude and solving the obtuse triangle, and then solving the height.

So just taking past exams should be enough?

What i did was i solved for the hypotenuse of the right triangle, then used the sine function to find the height. It was very simple, and took about 2 minutes