Euclidean geometry | Theorems about quadrilaterals
In mathematics, the simplest form of the parallelogram law (also called the parallelogram identity) belongs to elementary geometry. It states that the sum of the squares of the lengths of the four sides of a parallelogram equals the sum of the squares of the lengths of the two diagonals. We use these notations for the sides: AB, BC, CD, DA. But since in Euclidean geometry a parallelogram necessarily has opposite sides equal, that is, AB = CD and BC = DA, the law can be stated as If the parallelogram is a rectangle, the two diagonals are of equal lengths AC = BD, so and the statement reduces to the Pythagorean theorem. For the general quadrilateral with four sides not necessarily equal,where is the length of the line segment joining the midpoints of the diagonals. It can be seen from the diagram that for a parallelogram, and so the general formula simplifies to the parallelogram law. (Wikipedia).
Using the properties of parallelograms to solve for the missing diagonals
π Learn how to solve problems with parallelograms. A parallelogram is a four-sided shape (quadrilateral) such that each pair of opposite sides are parallel and are equal. Some of the properties of parallelograms are: each pair of opposite sides are equal, each pair of opposite sides are pa
From playlist Properties of Parallelograms
I introduce the Properties of Parallelograms...the opposite sides are equal, the opposite angles are equal, the consecutive angles are supplementary, and the diagonals bisect each other. I work through four algebraic examples in this video at 4:28 14:30 Find free review test, useful notes
From playlist Geometry
What are the properties that make up a parallelogram
π Learn how to solve problems with parallelograms. A parallelogram is a four-sided shape (quadrilateral) such that each pair of opposite sides are parallel and are equal. Some of the properties of parallelograms are: each pair of opposite sides are equal, each pair of opposite sides are pa
From playlist Properties of Parallelograms
Parallelogram Law of Vector Addition | Don't Memorise
In addition to the Triangle law of vector addition, there is one more law through which we can figure out the vector addition of two vectors. It is called Parallelogram Law of vector addition. In this video, we will look at this law to understand vector addition. To watch more High Scho
From playlist High School Math
What are parallel lines and a transversal
π Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Proving Parallel Lines with Angle Relationships
π Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
What is the Consecutive Interior Angle Converse Theorem
π Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
This video introduces the Linear Algebra approach to area, and to volume. It also introduces bi-vectors, with applications from physics: torque, angular momentum and motion in a magnetic field. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning
From playlist A first course in Linear Algebra - N J Wildberger
In this video lecture the properties of parallelograms are used to determine when a quadrilateral can be classified as such. Problems are determined numerically, algebraically, and in the coordinate plane.
From playlist Geometry
How To Determine If Two Lines are Parallel to Apply Angle Theorems
π Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i
From playlist Parallel Lines and a Transversal
Parallelogram Law and Triangle Method | Statics
https://goo.gl/WgbXYv for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objectives of this video are to go through the parallelogram law for addition and subtraction of vectors followed by a brief discussion on triangle method used to do vectors additio
From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)
Geometric Algebra in 2D - Some Trigonometry
In this video, we will derive the law of sines and the law of cosines using the concepts of geometric algebra, namely the wedge product and geometric product. We'll also review some other facts about the geometric product and the mathematical objects that we have been discussing so far in
From playlist Math
Elliptic Curves - Lecture 25a - The canonical height (properties) and Z-linear independence
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Law of Cosines (vector word problem) - Trigonometry
This video focuses on a Law of Cosines problem involving vectors. In particular, this teaches how to use the Parallelogram Law and Law of Cosines to find the magnitude of a resultant force. This video is appropriate for someone taking a course in Algebra 2/Trigonometry. In addition, thi
From playlist Trigonometry (old videos)
How to add and subtract complex numbers
How to add and subtract complex numbers. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
Law of Cosines Visual Proof: the βLoctagonβ #SoME2 #LawOfCosines #VisualProof
In this video, I derive my visual proof for the Law of Cosines. Similar to the popular Pythagorean Theorem proof, this proof also compares the areas of two figures. The goal of this video is to provide an intuitive explanation for the existence of the trigonometric term in the Law of Cosin
From playlist Summer of Math Exposition 2 videos
Law of Cosines, Word Problem #1
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Law of Cosines, Word Problem #1. Just a little word problem involving a parallelogram and some angles and side lengths.
From playlist All Videos - Part 5
This geometry video tutorial provides a basic introduction into parallelograms. It explains the properties of parallelograms and how to use it calculate the missing sides and missing angles of parallelograms. It contains plenty of examples and practice problems for you to work on. Oppo
From playlist Geometry Video Playlist
WildLinAlg2: Geometry with vectors
Please watch: "UNSWTV: Entertaining your curiosity" https://www.youtube.com/watch?v=bQ7UO8nxiL0 -~-~~-~~~-~~-~- We discuss basic constructions with vectors, and the laws that they satisfy. Affine combinations describe points lying on a line. We give applications to various elementary the
From playlist A first course in Linear Algebra - N J Wildberger