Quadrilaterals

Quadrilateral

In geometry a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side". It is also called a tetragon, derived from greek "tetra" meaning "four" and "gon" meaning "corner" or "angle", in analogy to other polygons (e.g. pentagon). Since "gon" means "angle", it is analogously called a quadrangle, or 4-angle. A quadrilateral with vertices , , and is sometimes denoted as . Quadrilaterals are either simple (not self-intersecting), or complex (self-intersecting, or crossed). Simple quadrilaterals are either convex or concave. The interior angles of a simple (and planar) quadrilateral ABCD add up to 360 degrees of arc, that is This is a special case of the n-gon interior angle sum formula: S = (n βˆ’ 2) Γ— 180Β°. All non-self-crossing quadrilaterals tile the plane, by repeated rotation around the midpoints of their edges. (Wikipedia).

Quadrilateral
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Determining if a set of points makes a parallelogram or not

πŸ‘‰ 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

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Using a set of points determine if the figure is a parallelogram using the midpoint formula

πŸ‘‰ 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

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Determine if a set of points is a parallelogram using the distance formula

πŸ‘‰ 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

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Using the slope formula to determine if points make up a rectangle

πŸ‘‰ 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

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Determine if a set of points is a parallelogram by using the slope formula

πŸ‘‰ 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

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How to determine the perimeter of a quadrilateral using distance formula of four points

πŸ‘‰ 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

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Determine if a set of points makes up a rectangle using the distance formula

πŸ‘‰ 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

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Determine if a set of points is a trapezoid or not

πŸ‘‰ 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

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How to determine if a set of points makes up a rectangle using the distance formula

πŸ‘‰ 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

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Quadrilateral overview | Perimeter, area, and volume | Geometry | Khan Academy

"Quad" means "four" and "lateral" means "line." A quadrilateral is literally a shape with four sides (lines) and four angles. Let's learn the difference between concave and convex quadrilaterals as well as trapezoids, parallelograms, and rhombi. Practice this lesson yourself on KhanAcadem

From playlist High School Geometry | High School Math | Khan Academy

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What is a Quadrilateral? | Don't Memorise

βœ…To learn more about Quadrilaterals, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=tbkBFD8wgJs&utm_term=%7Bkeyword%7D In this video, we will learn: 0:00 what is a quadrilateral? 0:28 properties of a

From playlist Understanding Quadrilaterals Class 08

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Introduction to types of quadrilaterals | 3rd grade | Khan Academy

Discover attributes and features of four-sided shapes, including parallelograms, rhombuses, rectangles, and squares. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-third-grade-math/cc-third-grade-measurement/cc-third-grade-geometry/e/catego

From playlist 5th Grade | Get Ready for Grade Level | Khan Academy

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Geometry with Geogebra lesson 2 - Angles in a quadrilateral

In this lesson I explain why angles in a quadrilateral sum up to 360 degrees. We also work through a practice test question.

From playlist Mathematics Lessons, Grades 8-10, High School, Australia

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A moduli space of polygons

Polygons in three dimensions might seem simple, but their geometry connects many areas of math and has surprising applications to chemistry and signal processing. In this video, I give a brief introduction to the moduli space of polygons in Euclidean space. This is a submission for the Sum

From playlist Summer of Math Exposition 2 videos

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Tests for Parallelograms

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

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Quadrilaterals: kites as a geometric shape | Quadrilaterals | Geometry | Khan Academy

Is a kite a quadrilateral? Is it a rhombus? A parallelogram? Let's find out. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/e/quadrilateral_types?utm_source=YT&utm_medium=Desc&utm_campaign=G

From playlist High School Geometry | High School Math | Khan Academy

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A-Level Maths: C1-20 [Coordinate Geometry: Quadrilaterals]

Apologies for sound issues - blame it on a loose wire! https://www.buymeacoffee.com/TLMaths Navigate all of my videos at https://sites.google.com/site/tlmaths314/ Like my Facebook Page: https://www.facebook.com/TLMaths-1943955188961592/ to keep updated Follow me on Instagram here: http

From playlist A-Level Maths C1: Coordinate Geometry

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Whether a special quadrilateral can exist | Quadrilaterals | Geometry | Khan Academy

Proving whether a special quadrilateral can exist Watch the next lesson: https://www.khanacademy.org/math/geometry/quadrilaterals-and-polygons/quadrilaterals/v/rhombus-diagonals?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Missed the previous lesson? https://www.khanacademy.org/m

From playlist Quadrilaterals | Geometry | Khan Academy

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What is a Parallelogram? | Special Cases of Parallelogram | Don't Memorise

To understand the different properties of Quadrilaterals, please visit https://infinitylearn.com/ βœ…To learn more about Quadrilaterals, enroll in our full course now: https://infinitylearn.com/microcourses?utm_source=youtube&utm_medium=Soical&utm_campaign=DM&utm_content=X1klhqNHeJk&utm_te

From playlist Understanding Quadrilaterals Class 08

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Determining if a set of points is a rhombus, square or rectangle

πŸ‘‰ 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

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