# Introduction to Geometry

Students in grades 6-10 will build a solid understanding of more challenging geometry concepts in this course. It is designed to expand on high school geometry topics to give students a deeper understanding of the topics and to challenge them with new problems. Topics include congruent and similar triangles; circles; 3D geometry; and introductory trigonometry.

###### Chapter 1: What’s in a Name
Notation used in geometry, points, lines, and planes
###### Chapter 2: Angles
Angles, parallel lines, angles in a triangle, exterior angles
###### Chapter 3: Congruent Triangles
Learn to determine if two triangles are congruent, study properties of isosceles and equilateral triangles
Perimeter, area
###### Chapter 5: Similar triangles
Learn to determine if two triangles are similar, properties of similar triangles
###### Chapter 6: Right Triangles
Pythagorean Theorem
###### Chapter 7: Special Parts of a triangle
Perpendicular and angle bisectors of a triangle, medians, altitudes
Trapezoids, parallelograms, Rhombi, rectangles, squares
###### Chapter 9: Polygons
Angles and area of polygons
###### Chapter 10: Geometric Inequalities
Sides and angles of a triangle, the triangle inequality
###### Chapter 11: Circles
Arc length, areas
###### Chapter 12: Circles and angles
Inscribed angles, tangents of circles
###### Chapter 13: Three-Dimensional Geometry
Planes, Prisms, Pyramids
###### Chapter 14: Curved Surfaces
Cylinders, Cones, Spheres
###### Chapter 15: The more things change
Translation, rotations, reflections, dilation
###### Chapter 16: Analytic Geometry
Geometry in coordinate plane, lines, Circles, distance between a point and a line.
###### Chapter 17: Introduction to trigonometry
Trigonometry ratios, law of sines, law of cosines
###### Chapter 18: Problem Solving Strategies in geometry
Techniques to solve geometry problems, including adding auxiliary lines

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## What our parents say

Level:
AGES 10 - 15
Online 1-on-1 Private Sessions

This course typically takes 3-6 months to complete. This depends on the student's experience and how fast they can master the concepts and the knowledge. Our instructors move at the pace of the student, it may take extra time for some students to reinforce what they have learned.

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