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Geometry - Full AoPS Course

SAT Score Range

28 sessions

+13

🔥 4 spots left!

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 8 topics

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Hi! I'm Dean, a Texas high school sophomore who joined Schoolhouse as a tutor to fulfill others' academic journeys, allowing people to develop a passion and excel in academics. I love to tutor and help people grow, hence why I joined this platform. I have a passion for both math and history, and my favorite history subject to tutor is AP Human Geography, while my favorite math subject to tutor is geometry. Outside of academics, I love to play the violin, especially in my high school and local youth orchestra. I also love cats, having 3 of my own. Qualifications to Tutor: Math: - Pre-Algebra - Algebra 1 - Geometry - Algebra 2 - AP Precalculus History: - AP Human Geography

Divya M 🇺🇸

Senior Tutor

Certified in 13 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 (top 10 in a school of a 1000) and we recieved 2nd place at the Chapter competition. I am currently a MathCounts coach. I love 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!

Danial M 🇨🇦

Certified in 33 topics

View Profile

Medalist of a math competition and senior high school student, I am ready to dedicate my time to spread knowledge and satisfaction of solving Math problems with easiness. Whether it's about Algebra or Geometry, you'll learn all the skills and necessary informations to succeed in your Math classes!

✋ ATTENDANCE 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. If you do not message me and you are absent for an extended period of time (2+ weeks), I will kick you from the course.

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

4

Aug

SESSION 10

Other Topics

Other Topics

Mon 12:00 AM - 1:30 AM UTCAug 4, 12:00 AM - 1:30 AM UTC

Chapter 4 - Perimeter and Area (Divya)
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 11

5

Aug

SESSION 11

Other Topics

Other Topics

Tue 2:00 AM - 3:10 AM UTCAug 5, 2:00 AM - 3:10 AM UTC

6 Right Triangles (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
6.6 Construction: Perpendicular Lines

Compass required!
SESSION 12

9

Aug

SESSION 12

Other Topics

Other Topics

Sat 11:00 PM - Sun, 12:00 AM UTCAug 9, 11:00 PM - Aug 10, 12:00 AM UTC

6 Right Triangles (guest tutor -- Dan M)
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
6.6 Construction: Perpendicular Lines

Compass required!
SESSION 13

16

Aug

SESSION 13

Other Topics

Other Topics

Sat 11:00 PM - Sun, 12:20 AM UTCAug 16, 11:00 PM - Aug 17, 12:20 AM UTC

7 Special Parts of a Triangle (with Divya)
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 14

23

Aug

SESSION 14

Other Topics

Other Topics

Sat 11:00 PM - Sun, 12:30 AM UTCAug 23, 11:00 PM - Aug 24, 12:30 AM UTC

8 Quadrilaterals (with Divya)
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 15

30

Aug

SESSION 15

Other Topics

Other Topics

Sat 12:45 AM - 1:45 AM UTCAug 30, 12:45 AM - 1:45 AM UTC

ch 8
SESSION 16

30

Aug

SESSION 16

Other Topics

Other Topics

Sat 11:00 PM - Sun, 12:30 AM UTCAug 30, 11:00 PM - Aug 31, 12:30 AM UTC

8 Quadrilaterals (with Divya)
SESSION 17

6

Sep

SESSION 17

Other Topics

Other Topics

Sat 1:45 AM - 2:35 AM UTCSep 6, 1:45 AM - 2:35 AM UTC

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 18

6

Sep

SESSION 18

Other Topics

Other Topics

Sat 11:00 PM - Sun, 12:10 AM UTCSep 6, 11:00 PM - Sep 7, 12:10 AM UTC

9--Polygons (with Danial)

SESSION 19

13

Sep

SESSION 19

Other Topics

Other Topics

Sat 1:45 AM - 2:55 AM UTCSep 13, 1:45 AM - 2:55 AM UTC

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

11 Circles
11.1 Arc Measure, Arc Length, and Circumference
11.2 Area
11.3 Funky Areas
SESSION 20

13

Sep

SESSION 20

Other Topics

Other Topics

Sat 11:00 PM - Sun, 12:10 AM UTCSep 13, 11:00 PM - Sep 14, 12:10 AM UTC

10 Geometric Inequalities (with tbd)
10.1 Sides and Angles of a Triangle
10.2 Pythagoras – Not Just For Right Triangles?
10.3 The Triangle Inequality

11 Circles
11.1 Arc Measure, Arc Length, and Circumference
11.2 Area
11.3 Funky Areas
SESSION 21

20

Sep

SESSION 21

Other Topics

Other Topics

Sat 1:45 AM - 3:05 AM UTCSep 20, 1:45 AM - 3:05 AM UTC

12 Circles and Angles (with Dean)
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 22

20

Sep

SESSION 22

Other Topics

Other Topics

Sat 11:00 PM - Sun, 12:20 AM UTCSep 20, 11:00 PM - Sep 21, 12:20 AM UTC

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 23

27

Sep

SESSION 23

Circles

Circles

Sat 11:00 PM - Sun, 12:30 AM UTCSep 27, 11:00 PM - Sep 28, 12:30 AM UTC

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

14 Three-Dimensional Geometry
14.1 Planes
14.2 Prisms
14.3 Pyramids
14.4 Regular Polyhedra
SESSION 24

4

Oct

SESSION 24

Other Topics

Other Topics

Sat 11:00 PM - Sun, 12:15 AM UTCOct 4, 11:00 PM - Oct 5, 12:15 AM UTC

15 Curved Surfaces
15.1 Cylinders
15.2 Cones
15.3 Spheres
15.4 Problems
SESSION 25

11

Oct

SESSION 25

Performing transformations

Performing transformations

Sat 11:00 PM - Sun, 12:30 AM UTCOct 11, 11:00 PM - Oct 12, 12:30 AM UTC

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

compass required
SESSION 26

18

Oct

SESSION 26

Analytic geometry

Analytic geometry

Sat 11:00 PM - Sun, 12:30 AM UTCOct 18, 11:00 PM - Oct 19, 12:30 AM UTC

17 Analytic Geometry
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
SESSION 27

25

Oct

SESSION 27

Trigonometry

Trigonometry

Sat 11:00 PM - Sun, 12:20 AM UTCOct 25, 11:00 PM - Oct 26, 12:20 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 28

1

Nov

SESSION 28

Other

Other

Sat 11:00 PM - Sun, 12:00 AM UTCNov 1, 11:00 PM - Nov 2, 12:00 AM UTC

AOPS GEOM CUMULATIVE TEST

Public Discussion

Please log in to see discussion on this series.

Jun 19 - Nov 2

20 weeks

50 - 90 mins

/ session

Next session on October 4, 2025

SCHEDULE

Saturdays

11:00PM