---
title: "Geometry Regents Prep: Proofs, Tools and the June 2027 Exam"
description: "Geometry Regents prep from NYSED: the 35-question, 80-credit Next Generation exam, compass and pi rules, the June 22, 2027 date and a coordinate proof worked."
canonical: https://learn.modernagecoders.com/geometry-regents-prep
source: src/pages/geometry-regents-prep.html
---
> Geometry Regents prep from NYSED: the 35-question, 80-credit Next Generation exam, compass and pi rules, the June 22, 2027 date and a coordinate proof worked.

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](/images/high-school-maths.webp)  GR / 01 High school math The full geometry course: proof, similarity, trigonometry, circles. Open the syllabus →](/courses/complete-high-school-mathematics-mastery)[![Algebra Foundations course thumbnail](/images/algebra-foundations.webp)  GR / 02 Algebra foundations For students whose equations and slopes need repair first. Open the syllabus →](/courses/algebra-foundations-masterclass)[![Maths Through Coding course thumbnail](/images/maths-through-coding.webp)  GR / 03 Math through coding Transformations and coordinates, drawn in Python. Open the syllabus →](/courses/maths-through-coding)

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.

| Part | Questions | Credits each | Credits in the part |
| --- | --- | --- | --- |
| Part I (multiple choice) | 24 | 2 | 48 |
| Part II (constructed response) | 7 | 2 | 14 |
| Part III (constructed response) | 3 | 4 | 12 |
| Part IV (constructed response) | 1 | 6 | 6 |
| Total (as published) | 35 |   | 80 |

### 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](https://www.nysed.gov/sites/default/files/programs/state-assessment/geometry-educator-guide-2024.pdf), 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.

| Domain | Code | Percent of credits |
| --- | --- | --- |
| Similarity, Right Triangles, and Trigonometry | G-SRT | 29 to 37% |
| Congruence | G-CO | 27 to 34% |
| Expressing Geometric Properties with Equations | G-GPE | 12 to 18% |
| Modeling with Geometry | G-MG | 8 to 15% |
| Circles | G-C | 2 to 8% |
| Geometric Measurement and Dimension | G-GMD | 2 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.

| Item | What NYSED says |
| --- | --- |
| Time | Three hours |
| Calculator | Exclusive use of a graphing calculator for the full exam; no symbol manipulation |
| Compass and straightedge | Must be available to every student; schools supply the tools |
| Value of pi | Use the pi symbol or pi key; 3.1416, 3.14 or 22/7 are unacceptable unless the question says otherwise |
| Reference sheet | Detachable, 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](https://www.nysed.gov/sites/default/files/programs/state-assessment/geometry-next-gen-reference-sheet.pdf) and the [Geometry resources page](https://www.nysed.gov/state-assessment/geometry), 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.

| Period | Geometry | Note |
| --- | --- | --- |
| January 2027 | Within Tuesday, January 26 to Friday, January 29 | January sheet still marked draft by NYSED |
| June 2027 | Tuesday, June 22, 1:15 p.m. | One of the last exams of the June period |
| August 2027 | Wednesday, 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](https://www.nysed.gov/sites/default/files/programs/state-assessment/regents-exams-schedule-june-2027.pdf), [August 2027 schedule](https://www.nysed.gov/sites/default/files/programs/state-assessment/regents-exams-schedule-august-2027.pdf), [final dates memo](https://www.nysed.gov/sites/default/files/programs/state-assessment/memo-regents-exam-dates-2027.pdf) and [NY Inspires timeline](https://www.nysed.gov/ny-inspires/transformation-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.

| Domain | Question | Answer |
| --- | --- | --- |
| G-CO | Point (3, -2) is reflected over the y-axis. Where does it land? | (-3, -2) |
| G-CO | Two angles of a triangle are 48 and 67 degrees. Find the third. | 65 degrees |
| G-CO | Which rigid motion maps (x, y) to (-y, x)? | A rotation of 90 degrees counterclockwise about the origin |
| G-SRT | Triangles with sides 6, 8, 10 and 9, 12, 15: similar? Give the scale factor. | Yes, 3/2 |
| G-SRT | In a right triangle, sin A = 5/13. What is cos A? | 12/13 |
| G-SRT | A 30-60-90 triangle has a short leg of 7. Find the hypotenuse. | 14 |
| G-GPE | Find the midpoint of (-4, 6) and (8, 2). | (2, 4) |
| G-GPE | Write the equation of the line through (1, 3) perpendicular to y = 2x - 5. | y = -x/2 + 7/2 |
| G-C | A circle has radius 6. Find the length of a 60-degree arc in terms of pi. | 2π |
| G-C | Complete the square to find the center and radius: x² + y² - 6x + 4y = 12. | Center (3, -2), radius 5 |
| G-GMD | A cylinder has radius 4 and height 10. Find its volume to the nearest tenth. | 502.7 |
| G-MG | A 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](https://www.nysedregents.org/geometryre/) 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.

| Stage | What it looks like | Next step |
| --- | --- | --- |
| 1. Calculator | Finds numbers, never states why | Say the reason out loud for each step |
| 2. Listing | Writes true statements in no clear order | Start from the given, end at the claim |
| 3. Chaining | Each step follows from the last, with a reason | Name the theorem or definition used |
| 4. Concluding | Ends with a sentence that answers the question | Write 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 / 01

#### Algebra foundations

Algebra I, secured.

[Open the syllabus](/courses/algebra-foundations-masterclass)

GR / F / 02

#### Middle school math

Angles, area and the Pythagorean theorem.

[Open the syllabus](/courses/comprehensive-middle-school-mathematics-mastery)

GR / F / 03

#### Math through coding

Draw transformations in code.

[Open the syllabus](/courses/maths-through-coding)II

### Geometry year

Grades 9 and 10

GR / G / 01

#### High school math

Geometry through calculus.

[Open the syllabus](/courses/complete-high-school-mathematics-mastery)

GR / G / 02

#### Competition math

Proof for students who want more.

[Open the syllabus](/courses/olympiad-competition-mathematics-mastery)

GR / G / 03

#### Statistics and probability

Ahead of Algebra II.

[Open the syllabus](/courses/statistics-probability-maths-course)III

### After Geometry

Grades 10 to 12

GR / A / 01

#### AP Precalculus

Functions and trigonometry.

[Open the syllabus](/courses/ap-precalculus-exam-prep-course)

GR / A / 02

#### SAT Math

Geometry and trig included.

[Open the syllabus](/courses/sat-math-prep-course)

GR / A / 03

#### ACT Math

Heavier on geometry than the SAT.

[Open the syllabus](/courses/act-math-prep-course)

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](/student-labs).

![NutriLife AI nutrition coach project screenshot](/images/projects/nutrilife.webp)

AI and ML

#### NutriLife

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

by Bhavya · [Open it](https://nutrilife-bhavya.lovable.app)

![Misti AI chatbot for maths and coding screenshot](/images/projects/misti.webp)

AI and ML

#### Misti

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

by Harshit · [Open it](https://misti.modernagecoders.com)

![GuardianX AI internet safety assistant screenshot](/images/projects/guardianx.webp)

AI and ML

#### GuardianX

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

by Vivaan · [Open it](https://guardianx-cybersaver.lovable.app)

![SkyCast weather forecast application screenshot](/images/projects/skycast.webp)

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.

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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](/geometry-tutoring-online-usa)

Proof as a chain of reasons.

### [Tenth grade math tutoring](/online-math-tutor-10th-grade)

The usual geometry year.

### [Algebra 2 tutoring](/algebra-2-tutoring-online)

The course after Geometry.

### [Precalculus tutoring](/precalculus-tutoring-online)

Trigonometry carried further.

### [Coding classes in New York](/coding-classes-in-new-york)

Our New York page.

## Related pages in this guide

Part of the guide: [US state math tests by state](/us-state-math-tests-by-state)

### High school end-of-course and graduation tests

- [Algebra 1 EOC prep](/algebra-1-eoc-prep)
- [STAAR Algebra 1 EOC prep](/staar-algebra-1-eoc-prep)
- [Keystone Algebra I prep](/keystone-algebra-1-prep)
- [NC Math 1 EOC prep](/nc-math-1-eoc-prep)
- [NJGPA math prep](/njgpa-math-prep)
- [Algebra 1 Regents prep](/algebra-1-regents-prep)
- [Algebra 2 Regents prep](/algebra-2-regents-prep)

### State tests, grades 3 to 8

- [CAASPP math practice](/caaspp-math-practice)
- [Smarter Balanced math practice](/smarter-balanced-math-practice)
- [CMAS math practice](/colorado-cmas-math-practice)
- [Illinois IAR math practice](/illinois-iar-math-practice)
- [MCAS math prep](/mcas-math-prep)
- [NC EOG math practice](/nc-eog-math-practice)
- [NJSLA math practice](/njsla-math-practice)
- [NYS math test prep, grades 3 to 8](/nys-math-test-prep-grades-3-8)
- [PSSA math practice](/pssa-math-practice)
- [STAAR math tutoring](/staar-math-tutoring)

### Standards behind the tests

- [Common Core math tutor](/common-core-math-tutor)
- [Common Core math vs traditional math](/common-core-math-vs-traditional-math)

More guides: [US gifted and selective school tests](/us-gifted-and-selective-school-tests-guide) · [US math placement and college readiness tests](/us-math-placement-and-college-readiness-tests) · [Homeschool and school math curricula guide](/homeschool-math-curriculum-guide-usa) · [US math and coding competitions 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](/how-we-teach), or look at [all courses](/courses).

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## Keep exploring Modern Age Coders

### More maths tuition

- [GCSE Maths Grades 1 to 9 Explained: What 4 and 5 Mean](/gcse-maths-grades-explained)
- [GL Assessment 11 Plus Maths Practice](/gl-assessment-11-plus-maths-practice)
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- [How Coding and Mathematics Work Together in Engineering & Science](/blog/coding-mathematics-engineering-science)

### Start here

- [Modern Age Coders pricing, one honest price per plan](/pricing)
- [How Modern Age Coders teaches, small batches and real projects](/how-we-teach)

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