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Geometry - Full AoPS Course

SAT Score Range

•

20 sessions

•

+25

•

🔥 2 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 7 topics

View Profile

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

View Profile

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.

Schedule

✋ 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 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

22

Jul

SESSION 6

Other Topics

Other Topics

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

3 - Congruent Triangles
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 7

25

Jul

SESSION 7

Other Topics

Other Topics

Fri 2:00 AM - 3:10 AM UTCJul 25, 2:00 AM - 3:10 AM UTC

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

Since Chapter 4 is so short, we'll also cover 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 8

1

Aug

SESSION 8

Right triangles & trigonometry

Right triangles & trigonometry

Fri 2:30 AM - 3:30 AM UTCAug 1, 2:30 AM - 3:30 AM UTC

6 Right Triangles
6.1 Pythagorean Theorem
6.2 Two Special Right Triangles
6.3 Pythagorean Triples
6.4 Congruence and Similarity Revisited

Skip 6.5 - Heron's Formula - advanced topic, you can revisit if you want to
SESSION 9

6

Aug

SESSION 9

Other Topics

Other Topics

Wed 1:30 AM - 2:30 AM UTCAug 6, 1:30 AM - 2:30 AM UTC

Note the date change - Tuesday since I am busy on the 2nd.

7 Special Parts of a Triangle
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 10

8

Aug

SESSION 10

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCAug 8, 1:30 AM - 2:30 AM UTC

Note the date change

8 Quadrilaterals
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 11

15

Aug

SESSION 11

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCAug 15, 1:30 AM - 2:30 AM UTC

At this point, school starts for me. I have no idea when I will be available so don't consider any of these dates set in stone - thanks for your flexibility! This is when twice-weekly sessions change to once-weekly

9 Polygons
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 12

22

Aug

SESSION 12

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCAug 22, 1:30 AM - 2:30 AM UTC

10 Geometric Inequalities
10.1 Sides and Angles of a Triangle
10.2 Pythagoras – Not Just For Right Triangles?
10.3 The Triangle Inequality
SESSION 13

29

Aug

SESSION 13

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCAug 29, 1:30 AM - 2:30 AM UTC

11 Circles
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
Compass required
SESSION 14

5

Sep

SESSION 14

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCSep 5, 1:30 AM - 2:30 AM UTC

13 Power of a Point
13.1 What is Power of a Point?
13.2 Power of a Point Problems
SESSION 15

12

Sep

SESSION 15

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCSep 12, 1:30 AM - 2:30 AM UTC

14 Three-Dimensional Geometry
14.1 Planes
14.2 Prisms
14.3 Pyramids
14.4 Regular Polyhedra
SESSION 16

19

Sep

SESSION 16

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCSep 19, 1:30 AM - 2:30 AM UTC

15 Curved Surfaces
15.1 Cylinders
15.2 Cones
15.3 Spheres
15.4 Problems
SESSION 17

26

Sep

SESSION 17

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCSep 26, 1:30 AM - 2:30 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 18

3

Oct

SESSION 18

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCOct 3, 1:30 AM - 2:30 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 19

10

Oct

SESSION 19

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCOct 10, 1:30 AM - 2:30 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 20

17

Oct

SESSION 20

Other Topics

Other Topics

Fri 1:30 AM - 2:30 AM UTCOct 17, 1:30 AM - 2:30 AM UTC

Review!

Public Discussion

Please log in to see discussion on this series.

Jun 19 - Oct 17

18 weeks

50 - 80 mins

/ session

Next session on July 17, 2025

SCHEDULE

Fridays

1:30AM