The domain of a function is the set of real numbers for which the function is defined. The function's range is the set of all the values that are returned when the domain is plugged into the function.
An equation is a function if it passes the vertical line test, which means that no perfectly vertical line intersects its graph at more than one point.
In this video we'll learn how to use the triangle side-splitting theorem to find the lengths of the sides of a triangle. The theorem tells us that, when we place a line segment inside a triangle which has its endpoints on opposite sides of the triangle and which is parallel to the side it doesn't touch, then we can set up a proportion between the lengths of the sides of the smaller triangle and the lengths of the sides of the bigger triangle.
In this video we'll learn how to use the SSS (side-side-side), SAS (side-angle-side), and AA (angle-angle) theorems to prove that two triangles are similar. Similar triangles are triangles that have three congruent interior angle measures. They may have different side lengths, or they may be rotated or flipped, but their three interior angles are the same.
In this video we'll learn how to solve for unknown values in two similar triangles. Similar triangles are triangles that have the same three interior angles, but different side lengths. If two triangles have the same three interior angles, then we can set up a proportion between their side lengths.
In this video we'll learn how to find the midpoint of a line segment that's lying in three dimensions. The endpoints of the line segment will be given as coordinate points in three-dimensional space, and we'll take the average of the x-values, the average of the y-values, and the average of the z-values in order to find the coordinate point that represents the midpoint of the line segment.
In this video we'll learn how to find the distance between two points in three-dimensional coordinate space. If we're given both points in the form (x,y,z), we'll use the distance formula for three dimensions (three variables) to find the distance between the points.
In this video we'll learn how to find the length of the diagonal of a right rectangular prism. We'll need to use the length, width and height of the prism to find the diagonal of one side, and then use that to find the diagonal of the prism.