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Award-Winning Geometry Tutors

Madhumitha

Certified Tutor

2+ years

Madhumitha

PhD
Madhumitha's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

Knowledge is powerful tool that can change your life and the lives of others. As a tutor my goal is to teach my students how to wield knowledge through embracing their mistakes and teaching them how to learn. I expect my students to approach sessions with an open mind and a willingness to learn. ...

Education

University of Chicago

PhD

Purdue University-Main Campus

PhD

John

Certified Tutor

2+ years

John

MS
John's other Tutor Subjects
Pre-Algebra
Finite Mathematics
College Algebra
Trigonometry

My academic credentials include a Bachelor of Mathematics degree from the University of Texas at Arlington and a Master of Aeronautical Engineering from Stanford University. I am retired from 40+ years of engineering. The last thirty years was working in the flight simulation industry. I had re...

Education

Stanford University

MS

The University of Texas at Arlington

MS

Jason

Certified Tutor

2+ years

Jason

MBA
Jason's other Tutor Subjects
Middle School Math
Geometry
Algebra
SAT Mathematics

I'm an MIT grad with 10+ years of experience tutoring SAT and ACT living in the Boston area. I work in finance, but my passion is teaching. If you work with me, I promise my enthusiasm and corny jokes will keep you motivated.

Education

Boston College

MBA

Massachusetts Institute of Technology

MBA

William

Certified Tutor

2+ years

William

PhD
William's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Statistics Graduate Level

Proofs are where most geometry students get stuck — moving from "I can see it's true" to writing a logical chain of reasoning is a genuine skill shift. William's PhD in mathematics means he lives in the world of formal proof, and he breaks down two-column and paragraph proofs into clear, repeatable ...

Education

MIT

PhD

University of Chicago

PhD

Brooke

Certified Tutor

2+ years

Brooke

Bachelor
Brooke's other Tutor Subjects
AP Statistics
AP Calculus BC
AP Calculus AB
Pre-Algebra

Mock Trial at Harvard is essentially proof-writing in disguise — building a case from premises to conclusion, anticipating counterarguments, and knowing exactly which evidence supports each claim. Brooke applies that same structured reasoning to geometric proofs, particularly when students need to c...

Education

Harvard University

Bachelor

Susan Caroline

Certified Tutor

2+ years

Susan Caroline

MS
Susan's other Tutor Subjects
Pre-Algebra
College Algebra
Trigonometry
Pre-Calculus

I'm a mechanical engineer, educated at MIT and Stanford. Previously, I have worked as a design engineer in the medical device design field. I like being able to help someone figure out how to make something work--to help them accomplish something they're struggling with. I love the 'I get it now' ...

Education

Stanford University

MS

Massachusetts Institute of Technology

MS

Miles

Certified Tutor

2+ years

Miles

MS
Miles's other Tutor Subjects
Geometry
Algebra
High School English
Philosophy

Proofs are where most geometry students stall — not because the logic is too hard, but because nobody teaches them how to think in logical steps. Miles holds degrees in both Philosophy and Mathematics from Cornell, plus a master's in Logic from the University of Amsterdam, which means he treats geom...

Education

University of Amsterdam

MS

Cornell University

MS

Jian

Certified Tutor

2+ years

Jian

Master's/Graduate
Jian's other Tutor Subjects
Pre-Algebra
Linear Algebra
Trigonometry
Statistics

Hi! I'm Lance, a recent graduate with a Master's degree in Business Analytics from Duke University and a Bachelor's degree in Joint Mathematics-Economics from the University of California, San Diego. With a strong background in mathematics and extensive experience as a long-time volunteer at the Boy...

Education

Duke University

Master's/Graduate

University of California-San Diego

Bachelor

Kelcy

Certified Tutor

2+ years

Kelcy

MBA
Kelcy's other Tutor Subjects
Pre-Algebra
Middle School Math
Geometry
Algebra

I have an MBA from Rice University and both real-world business experience and teaching experience. Most recently, I taught a first-year college course in Microeconomics for nine years, in addition to other classes in the university's international trade program. My students came from over 30 countr...

Education

Rice University

MBA

Seng Guan

Certified Tutor

2+ years

Seng Guan

PhD
Seng's other Tutor Subjects
Pre-Calculus
Geometry
Algebra
Calculus 1

As a graduate of Stanford University with a PhD in Aeronautics and Astronautics, and a Bachelor of Engineering in Mechanical from the National University of Singapore (NUS), I bring a solid academic foundation to my role as a tutor. With over 19 years of experience teaching subjects such as mathemat...

Education

Stanford University

PhD

National University of Singapore

PhD

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Meet Our Expert Tutors

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Patrick

Middle School Math Tutor • +76 Subjects

I am a retired teacher who tutors and writes and who has had decades of success motivating and preparing people for a range of tests and tasks. I also walk/jog 50-plus miles a week, do yoga, and exercise my critical thinking skills regularly. My students since 1979 have ranged from middle school urban and rural to university level juniors and seniors. While I spent almost ten years teaching higher ed. English Composition, Literature, and Research, the majority of my teaching time was in college preparatory curricula. I make a room comfortable when I come in but if it needs energized, I energize it.

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Benjamin

AP Calculus BC Tutor • +26 Subjects

Full-time tutor, former Chemistry graduate student at University of Pennsylvania, BS Chemistry with Math Minor from Rochester Institute of Technology. My philosophy is that students learn best when they can understand why they're learning the material. I aim to help students effectively utilize and seek out tools for learning concepts while also practicing examples and building knowledge of the concepts themselves. I have a passion for mentoring students in chemistry and mathematics and giving them the knowledge and tools they need to comprehensively understand the foundations and applications of the material they're learning and to succeed in their education.

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Carina

AP Statistics Tutor • +56 Subjects

I have a bachelor's degree in Business Economics from the Wharton School at the University of Pennsylvania (GPA 4.0) and previously graduated from The Lawrenceville School cum laude. I am currently pursuing a Master's Degree at the London School of Economics. I began tutoring in 2019 and have worked with students of all ages and backgrounds. I'm open to tutoring a very broad range of subjects, with the most experience in math, econ, and test prep. Please reach out if you're interested in working with me or if you have any questions!

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Kevin

AP Statistics Tutor • +60 Subjects

I am interested in working for Varsity Tutors because I enjoy helping others learn new concepts and progress in whatever they are struggling with. I have significant experience tutoring with a variety of age levels and would be delighted to have an opportunity to work with students through this opportunity.

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Straley

AP Statistics Tutor • +255 Subjects

I hold a Master's degree from Johns Hopkins Bloomberg School of Public Health and a Bachelor's degree from Johns Hopkins University. I tutored GED math for 3 years in college, so I have experience breaking down concepts for students with a variety of learning styles. I've also informally tutored other students in my math and science classes. My favorite part of working with students is seeing people's faces light up when they understand a tough concept. In my free time, I enjoy reading, walking, dancing, and listening to music.

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Zach

Pre-Algebra Tutor • +46 Subjects

I am a Yale University Berkeley College graduate of the Yale Class of 2012 with an Intensive B.S. in Molecular, Cellular, and Developmental Biology. Eager for tutoring opportunities, I welcome any of you who wishes to undergo SAT/PSAT or ACT Test Preparation that will get you the scores you need for admission to the college of your choice. As for my experience, I have tutoring experience in both one-to-one settings, going as far back as high school, and group/classroom settings, especially from my 4 years of tutoring with Yale MATHCOUNTS. As a likely future graduate student myself, it is my general goal in life to continue the tradition of passing forth knowledge. Not surprisingly, I have always considered tutoring and education among the most noble of professions where both parties, student and teacher, benefit and learn. What makes me an excellent tutor? Over the course of my life I have had the good fortune of cultivating a variety and number of skill sets, some of which are academic and social in nature. While I certainly consider academic prowess important for the success of any instructor, I would say the most important skill set I have developed is that of adaptability. If a tutor can adapt him/herself to the mode and manner of thinking of another, the tutor, as well as the tutor's audience, will have especially effective and enriching transactions.

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Eric

Pre-Algebra Tutor • +23 Subjects

I am a graduate of Duke University( undergrad) where I majored in Philosophy and minored in Theater Studies. During my summers in college, I worked with EducationUSA Nairobi, an advising center for Kenyan students who wish to pursue higher education in the US. When I worked for them, I tutored high school graduates on SAT stuff and also helped them write better personal statements. After graduating from Duke last year, I started tutoring high school students in my neighborhood. I mainly taught math subjects such as Pre-Algebra, Algebra, Pre-Calculus, Calculus, Trigonometry, Geometry, Basic Math and Problem Solving but I'm well versed in Reading and Writing subjects as well. I'm vastly experienced and very patient with all my students. In my free time I enjoy outdoor activities such as hiking, kayaking etc.

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Ravi

AP Calculus AB Tutor • +65 Subjects

I am passionate about the broad implications and applications of the Science, Math, and Engineering in our daily lives - and enjoy teaching them to my own kids. Towards this end, I also want to leverage my 20+ years in graduate and post-doctoral science/engineering research, past undergraduate level teaching/tutoring experience in physics, math, geophysics, and scientific computation, along with 10+ years of scientific programming & system administration experience towards STEM tutoring/mentoring at school to college level.

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Orne

Pre-Algebra Tutor • +14 Subjects

Hey! My name is Orne Akter and I am an undergraduate student at Harvard College under the majors of Neuroscience and Psychology! After 3 years of teaching Geometry and Algebra at my high school, I have picked up a passion for teaching students like myself! I can teach math (geometry, Algebra I/II, SAT math), English (SAT English, AP Lit/Lang, and general English courses). As I have just gotten through the college processes myself, I can also give deep insight into how the process works, strategies and tips I used to get into Harvard, and essay writing tips!

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Jacqueline

Pre-Algebra Tutor • +160 Subjects

As a dedicated educator with a PhD in German Studies from Cornell University, I am passionate about nurturing student success through personalized tutoring. With over 7 years of teaching experience, I specialize in a wide array of subjects, including AP courses in Physics, English, and Calculus, as well as German language instruction. My teaching philosophy centers on collaboration and constructive feedback, fostering a supportive environment where students feel confident to express their ideas and enhance their skills. I am deeply motivated by the opportunity to inspire curiosity and a love for learning in my students, helping them not only to achieve academic goals but also to develop critical thinking and writing abilities that will serve them well beyond the classroom.

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Frequently Asked Questions

Proofs require a fundamental shift from the procedural math students learned before—instead of following steps to get an answer, students must construct logical arguments using definitions, postulates, and theorems. Many students struggle because they don't see the "why" behind each step or don't know which properties to apply. A tutor can break down proof-writing into manageable strategies: identifying what you're given versus what you need to prove, working backward from the conclusion, and building a library of common proof patterns (like proving triangles congruent before using corresponding parts). This transforms proofs from mysterious puzzles into systematic problem-solving.

Spatial reasoning—picturing how shapes move, rotate, and relate in space—doesn't come naturally to all learners, yet it's essential for topics like rotations, reflections, cross-sections of solids, and coordinate geometry. Tutors use concrete strategies like having students sketch from multiple perspectives, manipulate physical models or digital tools, and translate between 2D diagrams and 3D objects. By practicing these visualization techniques repeatedly and connecting them to specific problems, students build mental models that make concepts like volume formulas and perspective drawings click. This hands-on approach helps students move from confusion to confidence when tackling spatial problems.

Geometry word problems often require students to translate written descriptions into accurate diagrams first—a step that algebra word problems don't emphasize as heavily. Students must identify which geometric properties (like angle relationships, triangle congruence, or circle theorems) apply to the situation before they can even set up equations. Tutors teach a structured approach: carefully read and annotate the problem, sketch and label a diagram accurately, identify the relevant geometric relationships, then solve. Many students skip the diagram step and get lost; tutoring emphasizes that the diagram is your roadmap. This methodical process turns confusing word problems into solvable challenges.

Students often confuse angle relationships—complementary vs. supplementary, corresponding vs. alternate interior angles, or angles formed by tangent and chord—because there are many similar-sounding rules to remember. Rather than memorizing in isolation, tutors help students see the underlying patterns: why alternate interior angles are equal (parallel lines create symmetry), how inscribed angles relate to central angles (both measure the same arc), or why exterior angles of a triangle equal the sum of remote interior angles. By connecting these relationships to visual patterns and proofs, students understand them deeply enough to apply them in unfamiliar contexts, rather than just pattern-matching on tests.

Many students treat Coordinate Geometry as a separate topic rather than seeing it as algebra applied to shapes—they can find slopes and write equations of lines, but don't connect these tools to proving properties of quadrilaterals or finding distances. Tutors explicitly bridge this gap by showing how the distance formula comes from the Pythagorean theorem, how slope determines parallel and perpendicular lines, and how equations of lines define the sides of geometric figures. When students see that they're using familiar algebra to verify geometric properties (like proving a quadrilateral is a rectangle by checking that opposite sides are parallel), Coordinate Geometry becomes a powerful tool rather than a confusing new section.

In Geometry, getting the right numerical answer means little without explaining *why* it's correct—teachers and tests emphasize reasoning and justification more heavily than in algebra. Students must cite theorems, postulates, or previously proven statements for every claim, which feels tedious until they understand it's the entire point of the subject. Tutors teach students to think like mathematicians: state what you know, explain what property or theorem applies, and show how it leads to your conclusion. By modeling this reasoning process on simple problems and gradually increasing complexity, students internalize that Geometry is about building logical arguments, not just calculating. This shift in mindset makes grading rubrics make sense and helps students write clearer, more convincing proofs.

Students often confuse congruence (same shape and size) and similarity (same shape, different size) because both involve matching angles and proportional sides—the vocabulary sounds abstract. Tutors use visual comparisons and real-world examples: congruent triangles are identical copies you could overlay perfectly, while similar triangles are enlargements or reductions of each other. More importantly, tutors teach students to recognize *when* each concept applies: use congruence to prove that segments or angles are equal (via SSS, SAS, ASA), and use similarity to find unknown lengths or prove angle relationships in figures with parallel lines. By connecting these tools to specific problem types, students stop treating them as isolated definitions and start seeing them as strategies for solving different geometric challenges.

The circle unit introduces a flood of theorems—inscribed angles, tangent-chord angles, power of a point, secant-secant angles—that can feel overwhelming because each one looks different and has its own rule. Rather than memorizing each theorem separately, tutors help students see the unifying principle: all these angle measures relate to arcs of the circle. By focusing on how different configurations (inscribed, tangent, secant) create different angle-to-arc relationships, students build intuition rather than relying on memorization. Tutors also teach students to draw and label diagrams carefully, identify which angle and arc they're dealing with, and apply the appropriate relationship—this systematic approach makes the unit feel manageable and helps students retain concepts long-term.

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