Verify theorems about the relationships in triangles, including proof of the pythagorean theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems

Popular Tutorials in Verify theorems about the relationships in triangles, including proof of the pythagorean theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems

What is the Converse of the Pythagorean Theorem?

The converse of the Pythagorean Theorem is like the the Pythagorean Theorem in reverse. You can use it both forward and backward! Not all theorems work this way, but the Pythagorean Theorem does! This tutorial will show you how to use both the Pythagorean Theorem and its converse.
What is the Pythagorean Theorem?

The Pythagorean theorem is a very popular theorem that shows a special relationship between the sides of a right triangle. In this tutorial, you'll get introduced to the Pythagorean theorem and see how it's used to solve for a missing length on a right triangle!
What is the Distributive Property?

The distributive property is a very deep math principle that helps make math work. It's the rule that lets you expand parentheses, and so it's really critical to understand if you want to get good at simplifying expressions. So check out the tutorial and let us know what you think!
How Do You Use the Law of Detachment to Draw a Valid Conclusion?

See the Law of Detachment in action! This tutorial shows you an example that uses the Law of Detachment to make a conclusion.
What is the Law of Syllogism?

If you have related conditional statements, the Law of Syllogism can help you link those conditional statements into one conditional statement. In this tutorial, you'll see how to combine related conditional statements using the Law of Syllogism.
How Do You Use the Centroid to Find Segment Lengths in a Triangle?

When you're given the centroid of a triangle and a few measurements of that triangle, you can use that information to find missing measurements in the triangle! This tutorial shows you how it's done.
How Do You Determine Whether a Triangle Can Be Formed Given Three Side Lengths?

If you're given 3 side measurements, there's a quick way to determine if those three sides can form a triangle. Follow along with this tutorial and learn what relationship these sides need in order to form a triangle.
How Do You Use the Hinge Theorem to Compare Side Lengths in Two Triangles?

The Hinge Theorem helps you compare side measurements of two triangles when you have two sets of congruent sides. Follow along with this tutorial to see this theorem used to find the relationship between the sides of two triangles.
How Do You Write an Indirect Proof?

This tutorial looks at using an indirect proof to show that an equilateral triangle cannot have a right angle.
How Do You Put the Sides of a Triangle in Order According to Size if You Know Two Angles of the Triangle?

Trying to figure out which side of a trianlge is the shortest? How about the longest? All you need to get your answer are the angle measurements of the triangle! How does it work? Watch this tutorial to find out!
What is the Circumcenter of a Triangle?

This tutorial explains the ins and outs of the circumcenter of a triangle. You'll see how to build up from the Perpendicular Bisector Theorem to find the circumcenter of a triangle.
What is the Incenter of a Triangle?

The incenter of a triangle deals with the angle bisectors of a triangle. This tutorial shows you how to find the incenter of a triangle by first finding the angle bisectors.
What is the Hinge Theorem?

What's the Hinge Theorem all about? Watch this tutorial to find out!
What is the Triangle Midsegment Theorem?

The triangle midsegment theorem looks at the relationship between a midsegment of a triangle and the triangle's third side. Follow along with this tutorial to learn about the triangle midsegment theorem.
What is a Median of a Triangle?

A median of a triangle is a special line segment that connects two pieces of a triangle. This tutorial introduces you to the median of a triangle and shows you how many medians each triangle has!
How Do You Use the Diagonals of a Rectangle to Find the Value of a Variable?

When you make diagonals inside a rectangle, those diagonals are congruent. With this information, you can find the value of a variable that's part of a measurement of a diagonal. This tutorial shows you the steps.
How Do You Write a Coordinate Proof?

In this tutorial, you'll see how to write a coordinate proof to prove that two triangles are congruent. Check it out!
How Do You Find the Value for a Variable in the Angles of a Quadrilateral To Make it a Rhombus?

A parallelogram needs to have certain qualities in order to be a rhombus. In this tutorial, you'll use your knowledge of these shapes in order to find the value for a variable that will make a given parallelogram a rhombus.
What is the Substitution Property of Equality?

If you ever plug a value in for a variable into an expression or equation, you're using the Substitution Property of Equality. This property allows you to substitute quantities for each other into an expression as long as those quantities are equal. Watch this tutorial to learn about this useful property!
How Do You Find Missing Angles in an Isosceles Triangle?

Trying to find a missing interior angle measurement in a triangle? See if you're working with a special type of triangle such as an equilateral or isosceles triangle. If you are, that knowledge can help you. In this tutorial, see how identifying your triangle first can be very helpful in solving for that missing measurement. Take a look!
How Do You Find Missing Angles in a Triangle With Variables?

Looking for the measurements of the interior angles of a given triangle? The Triangle Sum theorem might help. This theorem states that the interior angles of a triangle ALWAYS add up to 180 degrees! This tutorial shows you how to use that information to find those interior angle measurements.
How Do You Find Missing Angles in an Isosceles Triangle Using Right Triangles?

Trying to find a missing interior angle measurement in a triangle? See if you're working with a special type of triangle such as an equilateral or isosceles triangle. If you are, that knowledge can help you. In this tutorial, see how identifying your triangle first can be very helpful in solving for that missing measurement. Take a look!
What is a Rectangle?

A rectangle is one of the many fundamental shapes you'll see in math. Rectangles have special properties that can be very useful in helping you solve a problem. This tutorial introduces you to rectangles and explains their interesting qualities!
What is an Angle?

Angles are a fundamental building block for creating all sorts of shapes! In this tutorial, learn about how an angle is formed, how to name an angle, and how an angle is measured. Take a look!
What are Acute, Obtuse, Right, and Straight Angles?

Did you know that there are different kinds of angles? Knowing how to identify these angles is an important part of solving many problems involving angles. Check out this tutorial and learn about the different kinds of angles!
What are Supplementary Angles?

Knowing about supplementary angles can be very useful in solving for missing angle measurements. This tutorial introduces you to supplementary angles and shows you how to use them to solve for a missing angle measurement. Take a look!
What are Vertical Angles?

Vertical angles have a very special quality. They are always congruent to one another! Check out this tutorial to learn about and see how to identify vertical angles!
How Do You Find the Sum of the Interior Angles of a Polygon?

Polygons have all kinds of neat properties! For example, if you know the number of sides of a polygon, you can figure out the sum of the interior angles. That knowledge can be very useful when you're solving for a missing interior angle measurement. Check out this tutorial to learn how to find the sum of the interior angles of a polygon!
What is the Triangle Sum Theorem?

When you're dealing with triangles, the Triangle Sum theorem can be very useful in finding interior angle measurements. In this tutorial, learn how to find this helpful theorem!
What is a 45Â°-45Â°-90Â° Triangle?

A 45-45-90 triangle is a special right triangle with some very special characteristics. If you have a 45-45-90 triangle, you can find a missing side length without using the Pythagorean theorem! Check out this tutorial to learn about 45-45-90 triangles!
What is a 30-60-90 Degree Triangle?

A 30-60-90 triangle is a special right triangle with some very special characteristics. If you have a 30-60-90 degree triangle, you can find a missing side length without using the Pythagorean theorem! Check out this tutorial to learn about 30-60-90 triangles!