Geometry

This course is a part of 8th grade, a 7-course Topic series from Khan Academy.

In this topic, we will learn about special angles, such as angles between intersecting lines and triangle angles. Next, we will learn about the Pythagorean theorem. We will find volume of 3D shapes like spheres, cones, and cylinders. Finally, we will learn about translations, rotations, reflections, and congruence and similarity.

This course contains 7 segments:

Angles between intersecting lines

Welcome. I'd like to introduce you to Mr. Angle. Nice to meet you. So nice to meet you. This tutorial introduces us to angles. It includes how we measure them, how angles relate to each other and properties of angles created from various types of intersecting lines. Mr. Angle is actually far more fun than you might initially presume him to be.

Triangle angles

Do the angles in a triangle always add up to the same thing? Would I ask it if they didn't? What do we know about the angles of a triangle if two of the sides are congruent (an isosceles triangle) or all three are congruent (an equilateral)? This tutorial is the place to find out. Common Core Standard: 8.G.A.5

Pythagorean theorem

Named after the Greek philosopher who lived nearly 2600 years ago, the Pythagorean theorem is as good as math theorems get (Pythagoras also started a religious movement). It's simple. It's beautiful. It's powerful. Common Core Standards: 8.G.B.7, 8.G.B.8

Pythagorean theorem application

Apply the Pythagorean theorem to area and perimeter, 3D figures, and real world problems.

Pythagorean theorem and distance between points

Use the Pythagorean theorem to find the distance between points on a coordinate plane and the length of diagonal lines on a coordinate plane.

Pythagorean theorem proofs

The Pythagorean theorem is one of the most famous ideas in all of mathematics. This tutorial proves it. Then proves it again... and again... and again. More than just satisfying any skepticism of whether the Pythagorean theorem is really true (only one proof would be sufficient for that), it will hopefully open your mind to new and beautiful ways to prove something very powerful. Common Core Standard: 8.G.B.6

Volume

Let's see how to find the volumes of cylinders, spheres and other three dimensional shapes. Common Core Standard: 8.G.C.9