Looking at two figures that are the same shape and have the same angle measurements? You have similar figures! Learn all about it in this tutorial!
Word problems allow you to see the real world uses of math! This tutorial shows you how to take a word problem and use indirect measurement to turn it into a proportion. Then see how to use the mean extremes property of proportions to cross multiply and solve for the answer. Take a look!
Parallel lines are lines that will go on and on forever without ever intersecting. This is because they have the same slope! If you have two linear equations that have the same slope but different y-intercepts, then those lines are parallel to one another!
Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1! Watch this tutorial and see how to determine if two equations are perpendicular.
Want to find the point midway between two locations? Then you're looking for the midpoint! The midpoint of a line segment is the point located midway between the endpoints of the line segment. This tutorial tells you about the midpoint of a line segment. Take a look!
When you're learning about linear equations, you're bound to run into the point-slope form of a line. This form is quite useful in creating an equation of a line if you're given the slope and a point on the line. Watch this tutorial, and learn about the point-slope form of a line!
Trying to find the distance between two points? Use the distance formula! Want to see how it's done? Check out this tutorial!
Looking for some terminology used with right triangles? Then this tutorial was made for you! In this tutorial, you'll be introduced to the names for the different parts of a right triangle. Check it out!
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.
If you need to find the distance between to points on the coordinate, you'll probably use the distance formula to get your answer. This tutorial introduces you to the distance formula and even shows you how to find it!
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!
Working with probabilities? Check out this tutorial! You'll see how to calculate the probability of picking a certain marble out of a bag.
Calculating probabilities? Take a look at this tutorial and see how to figure out the probability of independently drawing certain cards from a deck!
Sometimes probabilities depend on the outcomes of other events. Check out this tutorial to see probabilities of dependent events in action!
The Fundamental Counting Principle is a way to figure out the total number of ways different events can occur. In this tutorial, you'll be introduced to this principle and see how to use it in an example. Take a look!
Do real life situations always work out the way your mathematical models tell you they should? No! This tutorial describes how experimental probability differs from theoretical probability.
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!
This tutorial provides a great real world application of math. You'll see how to use the scale from a blueprint of a house to help find the actual height of the house. This tutorial shows you how to use a proportion to solve!
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.
What exactly is a circle? Learn the answer in this tutorial. You can also see the equation for a circle that's on the coordinate plane!
Conditional probability is used to find a probability in all sorts of everyday situations! This tutorial shows you one example of how to find the conditional probability in a real world problem.
If you're learning about probability, conditional probability is bound to come up. This tutorial explains conditional probability and shows you how to find it!
The sine ratio is a handy ratio when you're dealing with right triangles! In this tutorial, you'll learn what the sine ratio is and how to use it to find angle measurements in a right triangle.
There are several different ratios you can make from the sides of a right triangle. One of them is the tangent ratio. Watch this tutorial to add the tangent ratio to your right triangle tool box!
You can use sine to help you find the area of a triangle! All you need is two sides and an angle measurement! This tutorial helps you find this formula.
A conditional statement is an if-then statement. For every conditional statement you can write three related statements, the converse, the inverse, and the contrapositive. The video shows how these are related.
If you can write a true statement using "if and only if" , then you've got a biconditional. Learn more about biconditionals by watching the video.
See the Law of Detachment in action! This tutorial shows you an example that uses the Law of Detachment to make a conclusion.
You probably observe data and patterns to make predictions or conjectures on a regular basis. If so, you are using inductive reasoning. Check out the video to learn more!
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.
When a conditional statement and its converse are both true, you can write them as one statement called a biconditional statement. Learn more about this special kind of statement by following along 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.
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.
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.
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.
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!
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.
In this tutorial, you'll see how to write a coordinate proof to prove that two triangles are congruent. Check it out!
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.
This tutorial shows you how the Triangle Proportionality Theorem can be used to find a missing length in a diagram. Take a look!
To find the geometric mean of two numbers, just find the product of those numbers and take the square root! Follow along with this tutorial to learn the process step-by-step.
The geometric mean can help you find a missing term in a geometric sequence. Before you find the geometric mean, you should understand what it is. This tutorial defines geometric mean.
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.
How do you know if one figure is similar to another? If you can find a similarity transformation that maps one figure to the other, then the figures are similar! Learn more about spotting similarity transformations with this tutorial.
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 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.
When you're given the measurement of the intercepted arc, you can find the measure of the inscribed angle with a few short steps! Follow along with this tutorial to learn how to find an inscribed angle when you know the intercepted arc!
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.
When a quadrilateral is inscribed in a circle, you can find the angle measurements of the quadrilateral in just a few quick steps! Follow along with this tutorial to learn what to do!
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.
If you need to find the area of a regular polygon all you need is the apothem! This tutorial shows you how to find the area of a regular pentagon when you only know the apothem.
When you're working with similar figures, knowing the scale factor can help you find all sorts of pieces including side measurements and area. This tutorial shows you how to use the scale factor to help find the area of one of the figures.
This tutorial gives you practice finding geometric probability. Given a circle inscribed in a square, you'll see how to find the probability that a point chosen at random will land in the circle!
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!
Dilation allows you to shrink or enlarge the size of a figure without changing its shape. In this tutorial, follow along as you see how dilate a figure by a given scale factor. Check it out!
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!
Working with the graph of a line? Trying to find the equation for that graph? Just pick two points on the line and use them to find the equation. This tutorial shows you how to take two points on the graph of a line and use them to find the slope-intercept form of the line!
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!
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!
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.
When you have two congruent figures, that means that corresponding sides and corresponding angles are congruent. Get some practice identifying corresponding sides and angles by following along with this tutorial!
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!
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!
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!
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!
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!
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 trapezoid is a special type of quadrilateral with some special properties. This tutorial introduces you to trapezoids and gives you a look at the special properties needed for a quadrilateral to be called a trapezoid. Check it out!
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!
You can't learn everything about math without seeing planes. Did you know that there are rules for naming a plane? This tutorial introduces you to planes and shows you how to name them. Take a look!
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!
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!
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!
If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!
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 skew lines? They're pretty cool! Take a look at this tutorial and you'll be introduced to skew lines.
Did you know that there are different kinds of triangles? Knowing how to identify these triangles is an important part of solving many problems involving these triangles. Check out this tutorial and learn about some of the different kinds of triangles!
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!
Ever notice that some shapes look the same after you rotate them? These shapes have a property called rotational symmetry! Check out this tutorial to learn more.
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!
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!
This tutorial provides a great real world application of math. You'll see how to use the tangent ratio to find the height of a hill. Take a look!
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!
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!
Want to find the area of a trapezoid? If you have the length of each base and the height, you can use them to find the area. In this tutorial, you'll see how to identify those values and plug them into the formula for the area of a trapezoid. Then see how to simplify to get your answer!
Trying to find the area of a sector of a circle? Then check out this tutorial! You'll see how to use given information and the formula for the area of a sector to find the answer. Take a look!
The volume of a cylinder is the amount of space that will fit inside it. You can use the formula for the volume of a cylinder to find that amount! In this tutorial, see how to use that formula and the radius and height of the cylinder to find the volume. Check it out!
To find the volume of a cone, you need to plug in the measurement for the height of the cone and the radius of the base into the formula for the volume of a cone. Then simplify to get your answer. This tutorial shows you the entire process step-by-step!
Want to find the volume of a sphere? If you know the radius of the sphere, you can simply plug that value into the formula for the volume of a sphere and simplify! This tutorial shows you how!
The lateral area of a three-dimensional solid is the area of all the lateral faces. In this tutorial, you'll see how to use the dimensions of a rectangular prism to find the lateral area. Take a look!
Want to know how the find the lateral and surface areas of a cylinder? Then this tutorial was made for you! You'll see how to apply each formula to the given information to find the lateral area and surface area. Check it out!
Want to know how the find the lateral and surface areas of a regular pyramid? Then this tutorial was made for you! You'll see how to apply each formula to the given information to find the lateral area and surface area. Check it out!
Want to know how the find the lateral and surface areas of a cone? Then check out this tutorial! You'll see how to apply each formula to the given information to find the lateral area and surface area. Take a look!
Trying to find the surface area of a sphere? Already know the radius? Then plug that value into the formula for the surface area of a sphere and solve to get the answer! This tutorial shows you how!
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!
Understanding solids is a building block for finding their lateral area, surface area, and volume. In this tutorial, you'll see examples of solids and learn their different parts. Take a look!
If you have similar solids, there's a ratio that relates their surface areas. This tutorial uses similar prisms to help you find the ratio rule of the surface areas of any similar solids!
Did you know that the formula for the area of a triangle can be found by using the formula for the area of a parallelogram? In this tutorial, you'll see how it's done! Take a look!
Parallelograms and rectangles are pretty similar. In fact, you can turn a parallelogram into a rectangle to find the formula for the area of a parallelogram! Check out this tutorial to see how it's done!
Trying to figure out the formula for the area of a trapezoid? You could start by creating a parallelogram out of two trapezoids. Then, use the formula for the area of a parallelogram to figure out the formula for the area of one trapezoid. This tutorial shows you how!
The circumference of a circle is the distance around that circle. But what is the formula to find the circumference? In this tutorial, you'll learn the formulas for the circumference of a circle. Take a look!
Did you know that you can figure out the formula for the area of a circle by first turning the circle into a parallelogram? It seems a little weird, but it really works! Watch this tutorial to see how it's done!
Trying to find the volume of a prism? Did you know that there's a formula to find that volume? In this tutorial, you'll learn about the formula for the volume of a prism. Check it out!
Looking for the formula for the volume of a pyramid? Then check out this tutorial! You'll learn about the formula for the volume of a pyramid and see how to use the formula in an example. Take a look!