# Geometry

Contents

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.

25 exercises available

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.

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

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

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

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

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

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

Learn about transformations and how to perform them.

Learn about rotations and how to perform them.

Learn about reflections and how to perform them.

Learn about congruence and similarity, specifically as they relate to transformations. Learn to dilate shapes.