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Geometry - Full AoPS Course

SAT Score Range

22 sessions

+26

About

We'll be learning Geometry through the use of Introduction to Geometry by Richard Rusczyk, published by the Art of Problem Solving. The textbook we're using really helps you get a rock-solid foundation in Geometry since it includes many challenge problems! Join if you want to be challenged.

Tutored by

Dean H 🇺🇸

Certified in 7 topics

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Hi! I'm a high schooler who plays violin and piano. I have a cat and am here to help people. I have taken Alg I, Geometry, Alg II and AP Precalc. I have taken AP Human Geography and know a portion of AP World History.

Arnav J 🇺🇸

Certified in 2 topics

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I'm a rising freshman who loves math and computer science. I enjoy reading fiction, playing chess, and solving Rubik's cubes in my free time. I am especially immersed in competitive math at my school. I am a fencer on my school's team and fence at a club. I want to help other develop their interests and proficiency in STEM subjects.

Divya M 🇺🇸

Senior Tutor

Certified in 12 topics

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Hi everyone! I'm Divya, a freshman in a public high school. I love reading, writing, cats, badminton, and performing arts. I'm super excited to learn and teach at the same time! I'm hoping to study and prep for the courses I will take in school next year, as well as the SAT. I was a part of my school’s MathCounts team and enjoy challenging myself through problem-solving and competitions like the AMC 10. I also sing and have a huge interest in musical theatre. I am currently studying for the AMC 10. I do competitive dance and I also perform a lot in theatre and singing. I'm so excited to be here - can't wait to learn with you all!

✋ ATTENDANCE POLICY

No strict policy! I would encourage you to attend all sessions, but if you're busy I totally understand. Message me if you are going to be absent and I will be more than happy to send lesson materials to you.

SESSION 1

19

Jun

SESSION 1

General Geometry Q&A

General Geometry Q&A

Thu 8:30 PM - 9:20 PM UTCJun 19, 8:30 PM - 9:20 PM UTC

(Extra session to accommodate more times and gauge attendance.)
Chapter 1 - What's in a Name?
1.1 Why Names and Symbols
1.2 Points, Lines, and Planes
1.3 Round and Round
1.4 Construction: Copy a Segment
1.5 The Burden of Proof
SESSION 2

19

Jun

SESSION 2

General Geometry Q&A

General Geometry Q&A

Thu 10:00 PM - 10:50 PM UTCJun 19, 10:00 PM - 10:50 PM UTC

(Extra session to accommodate more times and gauge attendance.)
Chapter 1 - What's in a Name?
1.1 Why Names and Symbols
1.2 Points, Lines, and Planes
1.3 Round and Round
1.4 Construction: Copy a Segment
1.5 The Burden of Proof
SESSION 3

19

Jun

SESSION 3

General Geometry Q&A

General Geometry Q&A

Thu 11:30 PM - Fri, 12:20 AM UTCJun 19, 11:30 PM - Jun 20, 12:20 AM UTC

Chapter 1 - What's in a Name?
1.1 Why Names and Symbols
1.2 Points, Lines, and Planes
1.3 Round and Round
1.4 Construction: Copy a Segment
1.5 The Burden of Proof
SESSION 4

15

Jul

SESSION 4

Other Topics

Other Topics

Tue 3:15 AM - 4:15 AM UTCJul 15, 3:15 AM - 4:15 AM UTC

Chapter 2 - Angles (Slot 1 with Dean)
2.1 What is an Angle?
2.2 Measuring Angles
2.3 Straight and Vertical Angles
2.4 Parallel Lines
2.5 Angles in a Triangle
2.6 Exterior Angles
2.7 Parallel Lines Revisited
2.8 Summary
SESSION 5

17

Jul

SESSION 5

Other Topics

Other Topics

Thu 12:00 AM - 1:15 AM UTCJul 17, 12:00 AM - 1:15 AM UTC

Chapter 2 - Angles (Slot 2 with Arnav)
2.1 What is an Angle?
2.2 Measuring Angles
2.3 Straight and Vertical Angles
2.4 Parallel Lines
2.5 Angles in a Triangle
2.6 Exterior Angles
2.7 Parallel Lines Revisited
2.8 Summary
SESSION 6

21

Jul

SESSION 6

Other Topics

Other Topics

Mon 12:00 AM - 1:00 AM UTCJul 21, 12:00 AM - 1:00 AM UTC

Make-up session for missed chapters/extra review (hosted by Divya)
SESSION 7

22

Jul

SESSION 7

Other Topics

Other Topics

Tue 2:00 AM - 3:20 AM UTCJul 22, 2:00 AM - 3:20 AM UTC

Chapter 3 - Congruent Triangles (Slot 1 hosted by Dean)
3.1 Introduction
3.2 SSS Congruence
3.3 SAS Congruence
3.4 ASA and AAS Congruence
3.5 SSA Not-Necessarily Congruence
3.6 Isosceles and Equilateral Triangles
3.7 Construction: Equilateral Triangle and Perpendicular Bisector

A COMPASS IS NEEDED FOR THIS SESSION (not the north-east-south-west one. A drawing compass. Don't get the plastic ones. Trust me, they break after using it twice)
SESSION 8

23

Jul

SESSION 8

Other Topics

Other Topics

Wed 12:00 AM - 1:30 AM UTCJul 23, 12:00 AM - 1:30 AM UTC

Chapter 3 - Congruent Triangles (Slot 2 hosted by Divya and Arnav)
3.1 Introduction
3.2 SSS Congruence
3.3 SAS Congruence
3.4 ASA and AAS Congruence
3.5 SSA Not-Necessarily Congruence
3.6 Isosceles and Equilateral Triangles
3.7 Construction: Equilateral Triangle and Perpendicular Bisector

A COMPASS IS NEEDED FOR THIS SESSION (not the north-east-south-west one. A drawing compass. Don't get the plastic ones. Trust me, they break after using it twice)
SESSION 9

29

Jul

SESSION 9

Other Topics

Other Topics

Tue 2:00 AM - 3:20 AM UTCJul 29, 2:00 AM - 3:20 AM UTC

Chapter 4 - Perimeter and Area (
4.1 Perimeter
4.2 Area
4.3 Same Base/Same Altitude

Chapter 5 - Similar Triangles
5.1 What is Similarity?
5.2 AA Similarity
5.3 SAS Similarity
5.4 SSS Similarity
5.5 Using Similarity in Problems
5.6 Construction: Angles and Parallels

A COMPASS IS NEEDED FOR THIS SESSION (not the north-east-south-west one. A drawing compass. Don't get the plastic ones. Trust me, they break after using it twice)
SESSION 10

5

Aug

SESSION 10

Other Topics

Other Topics

Tue 2:00 AM - 3:15 AM UTCAug 5, 2:00 AM - 3:15 AM UTC

6 Right Triangles (Slot 1 hosted by Dean)
6.1 Pythagorean Theorem
6.2 Two Special Right Triangles
6.3 Pythagorean Triples
6.4 Congruence and Similarity Revisited
6.5 Heron's Formula (maybe?)
SESSION 11

12

Aug

SESSION 11

Other Topics

Other Topics

Tue 2:00 AM - 3:20 AM UTCAug 12, 2:00 AM - 3:20 AM UTC

7 Special Parts of a Triangle (with Dean)
7.1 Bisectors
7.2 Perpendicular Bisectors of a Triangle
7.3 Angle Bisectors of a Triangle
7.4 Medians
7.5 Altitudes
7.7 Construction: Bisectors

7.6 Challenging Problems will be assigned as optional practice later on.
SESSION 12

19

Aug

SESSION 12

Other Topics

Other Topics

Tue 2:30 AM - 4:00 AM UTCAug 19, 2:30 AM - 4:00 AM UTC

8 Quadrilaterals (with Dean)
8.1 Quadrilateral Basics
8.2 Trapezoids
8.3 Parallelograms
8.4 Rhombi
8.5 Rectangles
8.6 Squares
8.7 If and Only If
8.8 Quadrilateral Problems
SESSION 13

26

Aug

SESSION 13

Other Topics

Other Topics

Tue 2:30 AM - 3:45 AM UTCAug 26, 2:30 AM - 3:45 AM UTC

9 Polygons (with Dean)
9.1 Introduction to Polygons
9.2 Angles in a Polygon
9.3 Polygon Area
9.4 Polygon Problems
9.5 Construction: Regular Polygons
(A drawing compass will be required for this session)
SESSION 14

3

Sep

SESSION 14

Other Topics

Other Topics

Wed 2:30 AM - 3:30 AM UTCSep 3, 2:30 AM - 3:30 AM UTC

Tuesday because of USA labor day on Monday
10 Geometric Inequalities (with Dean)
10.1 Sides and Angles of a Triangle
10.2 Pythagoras – Not Just For Right Triangles?
10.3 The Triangle Inequality
SESSION 15

9

Sep

SESSION 15

Other Topics

Other Topics

Tue 2:30 AM - 4:00 AM UTCSep 9, 2:30 AM - 4:00 AM UTC

11 Circles (with Dean)
11.1 Arc Measure, Arc Length, and Circumference
11.2 Area
11.3 Funky Areas

12 Circles and Angles
12.1 Inscribed Angles
12.2 Angles Inside and Outside Circles
12.3 Tangents
12.4 Problems
12.5 Construction: Tangents
12.6 Summary
SESSION 16

16

Sep

SESSION 16

Other Topics

Other Topics

Tue 2:15 AM - 3:00 AM UTCSep 16, 2:15 AM - 3:00 AM UTC

13 Power of a Point (with Dean)
13.1 What is Power of a Point?
13.2 Power of a Point Problems
SESSION 17

23

Sep

SESSION 17

Other Topics

Other Topics

Tue 2:00 AM - 3:00 AM UTCSep 23, 2:00 AM - 3:00 AM UTC

14 Three-Dimensional Geometry (with Dean)
14.1 Planes
14.2 Prisms
14.3 Pyramids
14.4 Regular Polyhedra
SESSION 18

30

Sep

SESSION 18

Other Topics

Other Topics

Tue 2:00 AM - 3:10 AM UTCSep 30, 2:00 AM - 3:10 AM UTC

15 Curved Surfaces (with Dean)
15.1 Cylinders
15.2 Cones
15.3 Spheres
15.4 Problems
SESSION 19

7

Oct

SESSION 19

Other Topics

Other Topics

Tue 1:45 AM - 3:15 AM UTCOct 7, 1:45 AM - 3:15 AM UTC

16 The More Things Change... (Transformations) (with Dean)
16.1 Translations
16.2 Rotations
16.3 Reflections
16.4 Dilation
16.5 Changing the Question
16.6 Construction: Transformations

compass required
SESSION 20

14

Oct

SESSION 20

Other Topics

Other Topics

Tue 1:45 AM - 3:15 AM UTCOct 14, 1:45 AM - 3:15 AM UTC

17 Analytic Geometry (with Dean)
17.1 Lines
17.2 Circles
17.3 Basic Analytic Geometry Problems
17.4 Proofs with Analytic Geometry
17.5 Distance Between a Point and a Line
17.6 Advanced Analytic Geometry Problems

Date and time tentative (placeholder)
SESSION 21

21

Oct

SESSION 21

Other Topics

Other Topics

Tue 2:00 AM - 3:10 AM UTCOct 21, 2:00 AM - 3:10 AM UTC

18 Introduction to Trigonometry
18.1 Trigonometry and Right Triangles
18.2 Not Just For Right Triangles
18.3 Law of Sines and Law of Cosines
SESSION 22

28

Oct

SESSION 22

Other Topics

Other Topics

Tue 2:00 AM - 3:00 AM UTCOct 28, 2:00 AM - 3:00 AM UTC

19 Problem Solving Strategies in Geometry (with Dean)
19.1 The Extra Line
19.2 Assigning Variables
19.3 Proofs

Public Discussion

Please log in to see discussion on this series.

Jun 19 - Oct 28

19 weeks

45 - 90 mins

/ session

Next session on August 5, 2025