Matrices can help you solve all sorts of problems! In this tutorial, you'll see how to use a translation matrix to translate a figure on the coordinate plane.
A compass is a very handy tool! In this tutorial, you'll see how to use a compass and straightedge to construct parallel lines!
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!
There are many ways to show that two triangles are congruent. This tutorial shows you how to use a triangle congruence postulate to show that two triangles on the coordinate plane are congruent to each other!
When proving two triangles are congruent, you use information and postulates you already know to create a logical trail from what you know to what you want to show. This tutorial shows an example of using a congruence postulate to show two triangles are congruent!
If you're given information about two triangles and asked to prove parts of the triangles are congruent, see if you can show the two triangles are congruent. If they are, then you know that the corresponding parts are congruent! Follow along with this tutorial to see an example.
Proofs are an important part of geometry. This tutorial shows you how to use given information to prove that two overlapping triangles are congruent!
It might seem like a challenge to make sense of figures with overlapping triangles, but it's not so difficult! This video gives some commonsense advice for identifying common angles and common sides in these figures.
This tutorial shows you how to construct an equilateral triangle using a ruler and compass.
The Side-Angle-Side postulate is just one of many postulates you can use to show two triangles are congruent. This tutorial introduces you to the SAS postulate and shows you how to use it!
What is the Angle-Side-Angle postulate? This postulate is just one of many postulates you can use to prove two triangles are congruent! This tutorial explains the ASA postulate.
The term CPCTC can come up a lot when you're dealing with congruent triangles, but what does it mean? This tutorial gives a great explanation and shows you how to use it in an example!
There's a special theorem that helps you quickly figure out if two right triangles are congruent. This tutorial introduces you to that theorem and shows you how to use it!
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!
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.
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.
This tutorial shows you how to construct a perpendicular bisector using only a compass and a straightedge!
This tutorial looks at using an indirect proof to show that an equilateral triangle cannot have a right angle.
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!
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.
What's the Hinge Theorem all about? Watch this tutorial to find out!
Looking at the term 'perpendicular bisector', you can bet it has something to do with perpendicular lines! This tutorial talks all about perpendicular bisectors and shows you exactly what the term means.
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.
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!
When you're given a quadrilateral with some of the interior angles defined with variables, you can find what values those variables need to have to make that quadrilateral a parallelogram. Follow along with this tutorial to learn what steps to take to get the answer!
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.
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.
Did you know you don't need a ruler to construct a square? All you need is a compass and a straightedge! Watch this tutorial to see how it's done!
When you graph a composition of two transformations, you have to be very careful to perform all the steps in the right order! Watch this tutorial to see how to graph a glide reflection.
Want to figure out whether two figures are congruent? There's a mathematically precise way to do this! Watch this tutorial on congruence transformations to learn more.
Not all transformations are created equal! Congruence transformations, or isometries, have a special property that distinguishes them from other transformations. This tutorial will show you what makes them special!
When someone's eyes dilate, their pupils get bigger or smaller, but they always stay the same shape. Dilation in math is very similar. When you dilate a figure, you change the size of the figure without changing its shape. This tutorial introduces you to dilation. Take a look!
Reflecting a figure over the y-axis can be a little tricky, unless you have a plan. In this tutorial, see how to use the graph of a figure to perform the reflection. Check it out!
Want to see how to reflect a figure over the x-axis? Then this tutorial was made for you! In this tutorial, you'll see how to use coordinates from the original figure to reflect the figure over the x-axis. Take a look!
Want to see how to reflect a figure over the y-axis? Then this tutorial was made for you! In this tutorial, you'll see how to use coordinates from the original figure to reflect the figure over the y-axis. Take a look!
Reflecting a figure over the x-axis can be a little tricky, unless you have a plan. In this tutorial, see how to use the graph of a figure to perform the reflection. Check it out!
Rotating a figure about the origin can be a little tricky, but this tutorial can help! This tutorial shows you how to rotate coordinates from the original figure about the origin. Then, simply connect the points to create the new figure. See this process in action by watching this tutorial!
Rotating a figure about the origin can be a little tricky, but this tutorial can help! This tutorial shows you how to rotate coordinates from the original figure about the origin. Then, simply connect the points to create the new figure. See this process in action by watching this tutorial!
Rotating a figure about the origin can be a little tricky, but this tutorial can help! This tutorial shows you how to rotate coordinates from the original figure about the origin. Then, simply connect the points to create the new figure. See this process in action by watching this tutorial!
Translating a figure on the coordinate plane is easier than you might think! In this tutorial, see how to use the graph of the original figure to perform the translation. Take a look!
Translating a figure on the coordinate plane is easier than you might think! In this tutorial, see how to use the graph of the original figure to perform the translation. Take a look!
Performing multiple translations on the graph of a figure is easier than you might think! In this tutorial, see how to use the graph of the original figure to perform each translation in order to get the graph of the new figure. Check it out!
Translating a figure on the coordinate plane is easier than you might think! This tutorial shows you how to translate coordinates from the original figure. Then, simply connect the points to create your new figure. This tutorial shows you how!
Translating a figure on the coordinate plane is easier than you might think! This tutorial shows you how to translate coordinates from the original figure. Then, simply connect the points to create your new figure. This tutorial shows you how!
A parallelogram is a special type of quadrilateral with some special properties. In this tutorial, take a look at parallelograms and learn what kinds of quadrilaterals can also be called parallelograms!
A point is a fundamental building block of math. Without points, you couldn't make lines, planes, angles, or polygons. That also means that graphing would be impossible. Needless to say, learning about points is very important! That makes this tutorial a must see!
A math term can really tell you a lot about the thing it's describing. Take the term line segment. A line segment is just part of a line! In this tutorial, learn about line segments, how to name them, and what the midpoint of a line segment is!
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!
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!
Perpendicular lines have a special property. The angles formed by perpendicular lines will always be the same. Check out this tutorial to learn about perpendicular lines and see a cool trick involving these special lines!
Ever heard of a transversal? It's not as confusing as the term sounds. This tutorial will introduce you to transversals and show you the neat things that happen when a transversal meets two parallel lines. Take a look!
When you look in the mirror, you see your reflection. In math, you can create mirror images of figures by reflecting them over a given line. This tutorial introduces you to reflections and shows you some examples of reflections. Take a look!
Ever turned a door handle? You were performing a rotation! In math, rotations are just the same! Check out this tutorial to learn about rotations.
Ever slide something across a table? If so, then you have performed a translation! In this tutorial, learn the definition of translation and see some really neat examples. Take a look!
Transformations can be really fun! They allow you to change or move a figure. In this tutorial, learn about all the different kinds of transformations!
Just about everything in math has a name! Did you know that when you're dealing with transformations, the new figure you get is called an image? Check out this tutorial and learn about this math term!
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!
Circles are a fundamental part of math! In this tutorial, you'll be introduced to circles and see the different parts of a circle such as the diameter, radius, and chord. Check out this tutorial to learn about circles!