New York · Regents Examination in Geometry · Next Generation, since June 2025

Geometry Regents prep

Geometry is the Regents where a correct number is often not enough. NYSED’s own guide says the final 6-credit question asks for “multi-step, extended logical arguments and proofs”, and constructions with a compass appear in the constructed-response parts. Students who did well in Algebra I by calculating carefully can find this a different subject. Since June 2025 the exam has measured the Next Generation standards. This page sets out its design, its tools and its one surprising rule about pi, then writes a coordinate proof the way a grader wants to read it.

Book the free first class Book a priority demo Read the worked proof Ask on WhatsApp

Geometry taught live since 2020 · 10,000+ students · Eastern Time lessons

In short

New York’s Regents Examination in Geometry, set by NYSED, tests the high school geometry course against the Next Generation standards, first in this form in June 2025. Students answer 35 questions for 80 credits over three hours, with compass, straightedge and graphing calculator, finishing on a six-credit proof. In June 2027 it falls on Tuesday the 22nd at 1:15 p.m. Modern Age Coders prepares students for it live online, in a batch or 1-on-1, through our High School Mathematics course.

For the Geometry Regents

Three courses for geometry and the Regents

Geometry rests on algebra, so the right starting course depends on how solid Algebra I is.

High School Mathematics course thumbnail

GR / 01

High school math

The full geometry course: proof, similarity, trigonometry, circles.

Open the syllabus →
Algebra Foundations course thumbnail

GR / 02

Algebra foundations

For students whose equations and slopes need repair first.

Open the syllabus →
Maths Through Coding course thumbnail

GR / 03

Math through coding

Transformations and coordinates, drawn in Python.

Open the syllabus →

The exam

What is the format of the Geometry Regents?

Thirty-five questions in four parts, for 80 credits. It looks like the Algebra I design at first glance, but Part II is longer and Part III shorter.

Geometry examination design (NYSED Geometry Educator Guide, read 31 October 2026)
PartQuestionsCredits eachCredits in the part
Part I (multiple choice)24248
Part II (constructed response)7214
Part III (constructed response)3412
Part IV (constructed response)166
Total (as published)3580

What each part asks

Two-credit questions may involve several steps and ask students to show work or justify. Four-credit questions ask students to “explain, justify, and/or prove geometric relationships” and to reason quantitatively in real-world modelling.

The single Part IV question is the proof. NYSED describes it as developing “multi-step, extended logical arguments and proofs involving geometric relationships.”

Constructions count

NYSED says constructed-response questions require understanding “as well as demonstrating geometric concepts through constructions”. The standards include a cluster called Make geometric constructions (G-CO.D).

A construction earns credit only when the arcs are visible. Practising with a real compass, not only with software, is part of preparation.

Source: Geometry Educator Guide, published by NYSED’s assessment office and read on 31 October 2026. Our school is independent of NYSED and of every New York district.

Domains

What topics are on the Geometry Regents?

Six domains. Similarity, right triangles and trigonometry is the largest; congruence, where most proofs live, is close behind.

Geometry blueprint: percent of test by credit (NYSED Geometry Educator Guide, read 31 October 2026)
DomainCodePercent of credits
Similarity, Right Triangles, and TrigonometryG-SRT29 to 37%
CongruenceG-CO27 to 34%
Expressing Geometric Properties with EquationsG-GPE12 to 18%
Modeling with GeometryG-MG8 to 15%
CirclesG-C2 to 8%
Geometric Measurement and DimensionG-GMD2 to 8%

The two big domains

G-SRT and G-CO together carry well over half the credits. Similar triangles, the trigonometric ratios, rigid motions and triangle congruence are where a student’s year should be spent.

Congruence also holds the cluster Prove geometric theorems (G-CO.C): theorems about lines and angles, triangles and parallelograms.

Coordinates and modelling

G-GPE is algebra in geometry’s clothes: slopes, distances, midpoints, and proving that a shape is what it claims to be on a grid. Students who are good at Algebra I often find these their easiest credits.

Circles and solid measurement are small on the blueprint, so they deserve attention in proportion: secure, but not at the cost of proof.

Tools and pi

What tools and formulas can you use on the Geometry Regents?

A compass, a straightedge and a graphing calculator. The reference sheet is short, and NYSED is strict about how pi is used.

Geometry Regents tools and rules (NYSED Geometry Educator Guide and Reference Sheet for Geometry, read 31 October 2026)
ItemWhat NYSED says
TimeThree hours
CalculatorExclusive use of a graphing calculator for the full exam; no symbol manipulation
Compass and straightedgeMust be available to every student; schools supply the tools
Value of piUse the pi symbol or pi key; 3.1416, 3.14 or 22/7 are unacceptable unless the question says otherwise
Reference sheetDetachable, at the end of the booklet: volume of a cylinder, general prism, sphere, cone and pyramid

Why the pi rule matters

Our example: the volume of a sphere of radius 10 is (4/3)π(10)³. With the pi key that is 4188.79..., which rounds to 4189. With 3.14 it is 4186.67, which rounds to 4187. The second answer is wrong by NYSED’s rule, even though the method is right.

Students used to 3.14 from middle school need to unlearn it early in the year, not on exam day.

What the sheet leaves out

The geometry reference sheet holds the volume formulas and nothing else. Area of a circle, circumference, the distance formula, the trigonometric ratios and the special right triangles are not on it.

Those must be known. We drill them as short daily recall, a few minutes at the start of each lesson.

NYSED publishes the Next Generation Geometry Reference Sheet and the Geometry resources page, read 31 October 2026.

A proof

How to write a coordinate geometry proof for the Regents

Our own problem, in the G-GPE style. The method matters more than the answer: claim, evidence, and a sentence that ties them together.

  1. The problem (ours). Quadrilateral ABCD has vertices A(-2, 1), B(2, 4), C(5, 0) and D(1, -3). Prove that ABCD is a square.
  2. Plan before calculating. A square is a rhombus with a right angle. So we will show all four sides are equal, then show one pair of adjacent sides is perpendicular.
  3. Distances. AB = √((2 - (-2))² + (4 - 1)²) = √(16 + 9) = 5. BC = √(3² + (-4)²) = 5. CD = √((-4)² + (-3)²) = 5. DA = √((-3)² + 4²) = 5. All four sides are 5, so ABCD is a rhombus.
  4. Slopes. Slope of AB = (4 - 1)/(2 - (-2)) = 3/4. Slope of BC = (0 - 4)/(5 - 2) = -4/3. Their product is -1, so AB is perpendicular to BC and angle B is a right angle.
  5. Concluding statement. “ABCD is a rhombus because all four sides are congruent, and a rhombus with a right angle is a square. Therefore ABCD is a square.”

Where proof credit is lost

Calculating every slope and length correctly and then stopping. The question said prove, and a list of numbers is evidence without a conclusion.

Using the wrong definition: four equal sides alone gives a rhombus, not a square. Name the property you are proving at each step.

A second example, trigonometry (ours)

A wheelchair ramp rises 1.2 meters over a horizontal run of 9 meters. Find the angle it makes with the ground, to the nearest tenth of a degree.

tanθ = 1.2/9, so θ = tan-1(0.1333...), about 7.6 degrees. Write the ratio first, then the inverse: the grader looks for both.

June 2027

When is the Geometry Regents in 2027?

NYSED’s June 2027 schedule puts Geometry on Tuesday, June 22 at 1:15 p.m. It is also offered in the January and August periods.

Geometry Regents sittings in 2027 (NYSED examination schedules and final dates memo, read 31 October 2026)
PeriodGeometryNote
January 2027Within Tuesday, January 26 to Friday, January 29January sheet still marked draft by NYSED
June 2027Tuesday, June 22, 1:15 p.m.One of the last exams of the June period
August 2027Wednesday, August 18, 12:30 p.m.Afternoon of the second August day

Scoring and levels

Results come in five levels. The geometry guide’s Level 3 description says those students “meet the content area requirements for a Regents diploma”, with a warning that the next course may need extra support.

Each sitting has its own conversion chart on nysedregents.org, turning raw credits out of 80 into a scale score and level.

Where Geometry fits in a diploma

Under current NYSED rules a Regents diploma needs one math Regents, and the advanced designation needs three. For most students Geometry is the second of those three.

Through its NY Inspires plan NYSED wants passing Regents exams to stop being a diploma condition from fall 2027. That needs a Board of Regents vote; today’s rules hold for every student in the meantime.

Sources: June 2027 Regents schedule, August 2027 schedule, final dates memo and NY Inspires timeline, read 31 October 2026.

Practice

Twelve Geometry Regents practice questions with answers

Our own questions across all six domains. Use the pi key wherever pi appears.

Our practice questions, written for this page, with answers
DomainQuestionAnswer
G-COPoint (3, -2) is reflected over the y-axis. Where does it land?(-3, -2)
G-COTwo angles of a triangle are 48 and 67 degrees. Find the third.65 degrees
G-COWhich rigid motion maps (x, y) to (-y, x)?A rotation of 90 degrees counterclockwise about the origin
G-SRTTriangles with sides 6, 8, 10 and 9, 12, 15: similar? Give the scale factor.Yes, 3/2
G-SRTIn a right triangle, sin A = 5/13. What is cos A?12/13
G-SRTA 30-60-90 triangle has a short leg of 7. Find the hypotenuse.14
G-GPEFind the midpoint of (-4, 6) and (8, 2).(2, 4)
G-GPEWrite the equation of the line through (1, 3) perpendicular to y = 2x - 5.y = -x/2 + 7/2
G-CA circle has radius 6. Find the length of a 60-degree arc in terms of pi.2π
G-CComplete the square to find the center and radius: x² + y² - 6x + 4y = 12.Center (3, -2), radius 5
G-GMDA cylinder has radius 4 and height 10. Find its volume to the nearest tenth.502.7
G-MGA tank holds 1,000 cubic inches of water at 0.036 pounds per cubic inch. How heavy is the water?36 pounds

NYSED’s past Geometry exams from June 2025 onward follow the current design, each with its rating guide and model responses. Marking a practice proof against a model response is one of the most useful hours a student can spend.

A plan

How to prepare for the Geometry Regents, week by week

Our twelve-week plan counted back from Tuesday, June 22, 2027.

  1. Weeks 1 and 2: recall drill and a diagnostic. Formulas not on the sheet, then one full recent exam marked with the rating guide.
  2. Weeks 3 to 5: congruence and proof. Rigid motions, triangle congruence criteria, and a two-column or paragraph proof every lesson.
  3. Weeks 6 to 8: similarity and trigonometry. Scale factors, the side-splitter idea, trigonometric ratios and their inverses, with a wording-to-diagram habit for word problems.
  4. Week 9: coordinate geometry. Slope, distance and midpoint proofs, finishing each with a concluding statement.
  5. Week 10: constructions and circles. Compass work by hand, arc length, sector area and the equation of a circle.
  6. Weeks 11 and 12: full papers. Two three-hour rehearsals with the student’s own compass and calculator, and the pi key every time.

Proof readiness

Four stages of writing a geometry proof

How students usually grow into the 6-credit question, in our experience of teaching it.

Stages of proof writing (ours)
StageWhat it looks likeNext step
1. CalculatorFinds numbers, never states whySay the reason out loud for each step
2. ListingWrites true statements in no clear orderStart from the given, end at the claim
3. ChainingEach step follows from the last, with a reasonName the theorem or definition used
4. ConcludingEnds with a sentence that answers the questionWrite proofs under time

For parents

Ask your child to explain one homework proof to you. If they can tell the story, they can usually write it.

Geometry marks often drop from Algebra I marks in the first term. That is common and fixable, once proof writing clicks.

For students

Before writing a proof, say in one sentence what you are going to show and how.

Use the pi key. Every time.

The catalogue

High school math courses for New York

Live lessons for each Regents year and after.

I

Foundations

Grades 8 and 9

GR / F / 02

Middle school math

Angles, area and the Pythagorean theorem.

Open the syllabus
II

Geometry year

Grades 9 and 10
III

After Geometry

Grades 10 to 12

How lessons run

Geometry lessons with a whiteboard and a compass

Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays.

Evenings ET

After-school lessons on New York time.

Weekends

Proof clinics and full practice papers.

1-on-1

One proof at a time, written and rewritten.

Proof every lesson

Short or long, always concluded.

Real compass work

Arcs drawn by hand and shown.

Pi key habit

No 3.14, ever.

Recall drill

Formulas the sheet leaves out.

Model responses

Our proofs marked against NYSED’s.

Group or private

Fifteen to twenty, or one to one.

Student work

Student work

Coordinates and shapes appear in every app our students build. More on student labs.

NutriLife AI nutrition coach project screenshot

AI and ML

NutriLife

An AI nutrition coach that reads what you eat and works you toward a target.

by Bhavya · Open it

Misti AI chatbot for maths and coding screenshot

AI and ML

Misti

A chatbot that answers mathematics and programming questions, built and deployed by a student.

by Harshit · Open it

GuardianX AI internet safety assistant screenshot

AI and ML

GuardianX

An assistant that helps a young person recognise unsafe situations online.

by Vivaan · Open it

SkyCast weather forecast application screenshot

Web app

SkyCast

A weather forecasting site with live conditions for any location.

by Krish

Fees

Fees

Geometry Regents classes are charged monthly in US dollars and can stop at any time, so a student can join for the spring proof units and finish after June 22.

Free first class

USD 0

no card required

  • A free first class
  • Bring a proof you got stuck on
  • No card details
Book it

Group batch

USD 100

a month, billed in US dollars

  • Fifteen to twenty students
  • One geometry teacher
  • Choose your batch
  • Monthly
Start here

One to one

USD 150

a month, billed in US dollars

  • Your own teacher
  • Proof writing in depth
  • Flexible times
Enquire

What families say

Rated 4.9 across 547 Google reviews

Google reviews from parents, quoted in full.

★★★★★

"The one step solution for my son. Modern Age Coders make learning coding so simple that kids love it. The teachers explain complex concepts clearly with practical exercises and interactive content."

Ria Mukherjee

Parent

★★★★★

"Modern Age Coders has been a game-changer for me. I struggled to grasp IT concepts and coding before joining, but their classes transformed everything. I can now confidently write complex programs with ease."

Samriddha Mondal

Student

★★★★★

"One of the most wonderful education centres out there. Education is not limited to school syllabus but focuses on skill development."

Vansh Agarwal

Student

★★★★★

"My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative."

Sonam Oswal

Parent of Dhairya

★★★★★

"Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation."

Sonu Goyal

Parent

★★★★★

"I highly recommend this computer coding class! The teachers are incredibly knowledgeable and passionate about coding."

Ritu Kedia

Parent

Geometry Regents questions

Geometry Regents: questions students ask

When is the Geometry Regents in June 2027?

Tuesday, June 22, 2027, at 1:15 p.m., on NYSED's June 2027 examination schedule. It is also given in the January period and on Wednesday, August 18, 2027, at 12:30 p.m.

How many questions are on the Geometry Regents?

Thirty-five, in four parts: 24 multiple choice, 7 two-credit questions, 3 four-credit questions and one six-credit question. NYSED's guide gives a total of 80 credits.

Is the Geometry Regents hard?

It is different rather than simply harder: it asks students to prove and construct, not only calculate. Students who practise written proofs and constructions all year usually find the exam far more manageable.

Do you need a compass for the Geometry Regents?

Yes. Every student must have access to a compass and a straightedge, which the school provides, and a graphing calculator for all three hours.

Can you use 3.14 for pi on the Geometry Regents?

No, unless a question says so. NYSED's guide says students should use the pi symbol or the pi key, and that 3.1416, 3.14 or 22/7 are unacceptable.

What formulas are given on the Geometry Regents?

Only volume formulas: cylinder, general prism, sphere, cone and pyramid, on a detachable reference sheet. Area, circumference, distance and the trigonometric ratios must be known.

What is the biggest topic on the Geometry Regents?

Similarity, right triangles and trigonometry, at 29 to 37 percent of the credits, followed by congruence at 27 to 34 percent, according to NYSED's blueprint.

When did the Geometry Regents change?

NYSED's implementation memo set the first new Next Generation Geometry exam for June 2025, with the previous exam given for the last time in January 2025.

When are your Geometry classes?

Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Times are set in Eastern Time.

Are you affiliated with NYSED?

No. Modern Age Coders is an independent school that teaches geometry live online. We quote NYSED's public documents and send students to NYSED's own past exams.

Elsewhere on this site

Related pages

More geometry and New York pages.

Geometry tutoring

Proof as a chain of reasons.

Tenth grade math tutoring

The usual geometry year.

Algebra 2 tutoring

The course after Geometry.

Precalculus tutoring

Trigonometry carried further.

Coding classes in New York

Our New York page.

Related pages in this guide

Part of the guide: US state math tests by state

High school end-of-course and graduation tests

State tests, grades 3 to 8

Standards behind the tests

More guides: US gifted and selective school tests · US math placement and college readiness tests · Homeschool and school math curricula guide · US math and coding competitions guide

Start here

Book a free first class

Bring a proof that went wrong in class. The teacher will rebuild it with your child, line by line, and show where the reasons belong.

See how our lessons work, or look at all courses.

WhatsApp us · +91 91233 66161 · connect@modernagecoders.com

Teachers teach live from India on Eastern Time slots, weekday evenings or weekends. WhatsApp gets you the fastest reply.

The first class is free and needs no card.

Want a class sooner? Book a priority demo

A priority demo is a full class of about 45 to 60 minutes. After the class the mentor sends a written skill report and a personal learning roadmap on WhatsApp. If you enrol, the demo fee is adjusted against your first month's fee. Share your demo Order ID with us on WhatsApp and we take it off.

Book a priority demo

Keep exploring Modern Age Coders

More maths tuition

Learn more

From the blog

Start here

Free classPriority demoCall us