Theorems are a way for mathematicians to make a general mathematical statement. These statements can be used to help you solve all sorts of problems! See an introductions to theorems with this tutorial.
Parallel and perpendicular lines can be found in all sorts of places! In this tutorial, see how to use your knowledge of parallel and perpendicular lines to solve a word problem.
When a transversal intersects parallel lines, the corresponding angles created have a special relationship. The corresponding angles postulate looks at that relationship! Follow along with this tutorial to learn about this postulate.
The corresponding angles postulate states that when a transversal intersects parallel lines, the corresponding angles are congruent. What if you go the other way and start with corresponding angles that are congruent? Is the converse of this postulate true? This tutorial explores exactly that!
If you want to determine if a point is on the perpendicular bisector of a line segment, the Perpendicular Bisector Theorem and its converse might come in handy. This tutorial gives a great example of how to tell if a given point is a perpendicular bisector of a segment!
This tutorial looks at using an indirect proof to show that an equilateral triangle cannot have a right angle.
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.
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.
When you want to know if two chords are the same distance away from the center of the circle, there's a quick way to get the answer. In this tutorial, you'll learn how to find that answer and figure out which chords are equidistant from the center.
This tutorial shows you how to use your knowledge of intersecting arcs in a circle to find a missing arc measurement. Take a look!
This tutorial shows you how to use your knowledge of intersecting chords in a circle to find a missing angle measurement.
In this tutorial, you'll see how the Converse of the Pythagorean Theorem is used to figure out if a line is tangent to a circle.
What does it mean when a line is tangent to a circle? In this tutorial, you'll learn what a line needs to do to be a tangent line to a circle.
Got a diagram of a transversal intersecting parallel lines? Trying to figure out all the angle measurements? Take a look at this tutorial, and you'll see how find all the missing angle measurements by identifying vertical, corresponding, adjacent, and alternate exterior angles!
Got a transversal intersecting two lines? Trying to figure out if those lines are parallel? You could test to see if corresponding angles are congruent. This tutorial shows you how!
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!
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!
Lines that are parallel have a very special quality. Without this quality, these lines are not parallel. In this tutorial, take a look at parallel lines and see how they are different from any other kind of lines!
Ever heard of skew lines? They're pretty cool! Take a look at this tutorial and you'll be introduced to skew lines.