In Euclidean geometry, a cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. The center of the circle and its radius are called the circumcenter and the circumradius respectively. Other names for these quadrilaterals are concyclic quadrilateral and chordal quadrilateral, the latter since the sides of the quadrilateral are chords of the circumcircle. Usually the quadrilateral is assumed to be convex, but there are also crossed cyclic quadrilaterals. The formulas and properties given below are valid in the convex case. The word cyclic is from the Ancient Greek κύκλος (kuklos), which means "circle" or "wheel". All triangles have a circumcircle, but not all quadrilaterals do. An example of a quadrilateral that cannot be cyclic is a non-square rhombus. The section characterizations below states what necessary and sufficient conditions a quadrilateral must satisfy to have a circumcircle. (Wikipedia).
Cyclic Quadrilateral: Proof Hint!
Link: https://www.geogebra.org/m/KYdypjws
From playlist Geometry: Dynamic Interactives!
Cyclic Quadrilaterals and Parallel Lines in Circles
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From playlist Geometry
Opposite Angles in a Cyclic Quadrilateral (1 of 2: Introduction)
More resources available at www.misterwootube.com
From playlist Circle Geometry
Cyclic Quadrilateral: Quick Warm Up (GoGeometry Action 149)
Link: https://www.geogebra.org/m/ARjfJRdG
From playlist Geometry: Dynamic Interactives!
Determine if a set of points is a parallelogram using the distance formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Determining if a set of points makes a parallelogram or not
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Using a set of points determine if the figure is a parallelogram using the midpoint formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Determine if a set of points is a parallelogram by using the slope formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Using the slope formula to determine if points make up a rectangle
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Joint work with Kyle VanDeventer. Read our paper: https://archive.bridgesmathart.org/2022/bridges2022-313.pdf Instructions and files for printing and making one of these grids at https://www.printables.com/model/177955-kinetic-cyclic-scissors This research was partially supported by the K
From playlist 3D printing
Parametrics Exam Question (2 of 2: Circle geometry proof)
More resources available at www.misterwootube.com
From playlist Further Work with Functions (related content)
Circle Theorems: Cyclic Quadrilateral (Grade 6) - OnMaths GCSE Maths Revision
Topic: Circle Theorems: Cyclic Quadrilateral Do this paper online for free: https://www.onmaths.com/circle-theorems/ Grade: 6 This question appears on calculator and non-calculator higher GCSE papers. Practise and revise with OnMaths. Go to onmaths.com for more resources, like predicted G
From playlist Circle Theorems
A New Proof of Bhramagupta’s Formula
For years John Conway searched for an elegant, symmetric, and geometric proof of Brahmagupta’s formula. Here it is, presented by a team of students from Proof School!
From playlist Summer of Math Exposition Youtube Videos
In this lesson we discuss how opposite angles in cyclic quadrilaterals will sum 180 degrees, as well as the theorem that the tangent line to a circle will make a 90 degree angle to the radius at the point of contact.
From playlist Mathematics Lessons, Grades 8-10, High School, Australia
Geometry (Geometric Proofs) Ultimate revision guide for Further maths GCSE
Ultimate Guide to Further maths GCSE Geometry (Geometric Proofs) (level 2 Qualification from AQA) 1. Number - https://www.youtube.com/watch?v=ciR2OfUdO0g&list=PL2De0DVeFj3UQsVP217m4432peZ7Jow6r&index=19 2. Algebra - https://www.youtube.com/watch?v=IFqmY9UfAzc&index=2&list=PL2De0DVeFj3UQs
From playlist Ultimate Guide to Further Maths GCSE
Circle Geometry Example Question (worked proof)
More resources available at www.misterwootube.com
From playlist Circle Geometry
Trigonometry XII: Heron's Formula for the Area of Triangle
Follow me on instagram @whatthehectogon https://www.instagram.com/whatthehectogon/ If you have any questions, leave a comment below or feel free to email me at the misspelled whatthehectagon@gmail.com In this video, I prove the lovely formula for the area of a triangle from the indomitab
From playlist Trigonometry
Unknown identities of known shapes by Swati Sircar
PROGRAM : SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS ORGANIZERS : Siva Athreya and Anita Naolekar DATE : 13 May 2019 to 24 May 2019 VENUE : Ramanujan Lecture Hall, ICTS Bangalore The summer school is intended for women students studying in first year B.A/B.Sc./B.E./B.Tech.
From playlist Summer School for Women in Mathematics and Statistics 2019
Determine if a set of points makes up a rectangle using the distance formula
👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr
From playlist Quadrilaterals on a Coordinate Plane
Circle Theorems: Angles In Cyclic Quadrilateral (Grade 6) - OnMaths GCSE Maths Revision
Topic: Circle Theorems: Angles In Cyclic Quadrilateral Do this paper online for free: https://www.onmaths.com/circle-theorems/ Grade: 6 This question appears on calculator and non-calculator higher GCSE papers. Practise and revise with OnMaths. Go to onmaths.com for more resources, like p
From playlist Circle Theorems