Isosceles Trapezoids

This geometry video tutorial provides a basic introduction into isosceles trapezoids. It discusses the basic properties of isosceles trapezoids. The bases are parallel and the legs are congruent. The lower base angles are congruent and the upper base angles are congruent. The lower base angles and the upper base angles form consecutive interior angles also known as same side interior angles and are therefore supplementary. This video contains plenty of examples and practice problems on isosceles trapezoids. It discusses how to calculate the area of an isosceles trapezoid as well as calculating missing sides and angles. Finally, this video discusses the midsegment theorem of a trapezoid.
Polygons:
• Polygons
Angles of Regular Polygons:
• How To Calculate The I...
Quadrilaterals:
• Quadrilaterals - Geometry
Parallelograms:
• Parallelograms - Geometry
Rectangles - Special Quadrilaterals:
• Rectangles - Propertie...
_________________________________
The Rhombus:
• Rhombus, Basic Introdu...
Kites:
• Kites, Basic Introduct...
Proving Parallelograms:
• Proving Parallelograms...
Proving a Quadrilateral Is a Kite:
• Proving a Quadrilatera...
Proving a Quadrilateral Is a Rhombus:
• Two Column Proofs - Pr...
__________________________________
Proving Isosceles Trapezoids:
• Two Column Proofs - Pr...
2 Column Proofs - Quadrilateral:
• Two Column Proofs With...
Skew Lines:
• Skew Lines, Perpendicu...
Points, Lines, Planes, & Segments:
• Points, Lines, Planes,...
_______________________________________
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[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

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[@georgesadler7830]

MR. Organic Chemistry tutor, thank you for another outstanding video/lecture on the Isosceles Trapezoids in Analytic Geometry. The Trapezoids/Isosceles Trapezoids are used in Storm Water Management. These concrete structures carry rainwater from point a to point b and are built like a trapezoid. I took classes and work in this field.

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Hi there can you please help solve this gr 10 problem A rectangle with length 6 m and width 4 m inscribed is a trapezium with height of 2 m... Find the area of the trapezium and the remaining area.

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[@JuystaFan]

If the base of a congruent trapezoid is known, and all other sides are equal, how do you find the length of the other sides?

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[@faith-joytoerichardson3393]

How can I get more questions or practice.

[@subithasuresh5646]

How to find Area

[@maricelestroso4103]

What if a popcorn bucket is an isoceles trapezoid. find the lenght of the diagonal indicated

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is AE is equal to BC ? and AC is equal to AD ?

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2:12

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Lol

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[@traeborboston3065]

this helped a lot, thank you!!

[@sirspamsalot7303]

what if i know the all the bases of the isoceles trapezoid but dont know the legs how do i answer it

[@hanni003]

Sun ML did u figure it out cause i have he same problem

[@sirspamsalot7303]

Kermit The Frog yep

[@loadzaf]

@@hanni003

[@loadzaf]

@@hanni003 The lower base angles and the upper base angles form consecutive interior angles also known as same side interior angles and are therefore supplementary.

[@loadzaf]

@@hanni003 And for the legs you can use the equation [ A = 1/2 x (b1 + b2) x h ] Switch H with A like you learned in algebra and thats the equation for H

[@n0tyourtyp1cal]

I have a question. What are the congruent angles?

[@Lmc204]

it means that they are exactly the same

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what is (baug x h) in that?

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[@FiniteMan1933]

18:08

[@magmastorm9335]

Does midsegment of isosceles trapezoid bisect the diagonals? Pls someone answer. Thanks

[@magmastorm9335]

Answer please anyone? Thank you.

[@thecosmos7671]

Let the Midsegment be E And the trapezoid be abcd The midsegment creates two similar triangles triangle ABE AND TRIANGLE DEC , YOU KNOW AB AND DC ARE NOT EQUAL JUST PARALLEL SO WE DON'T HAVE CONGRUENT TRIANGLES BUT WE'LL HAVE TRIANGLES HAVING SIDES IN SAME RATIO. GIVEN IT IS AN ISOSCELES TRAPEZOID SO WE HAVE AD EQUALS BC AND WE KNOW DIAGONALS ARE CONGRUENT SO AC AND BD ARE ALSO EQUAL. We have angle AEB=angle DEC (VERTICAL OPPOSITE ANGLES) AC-AE=BD-BE (WE KNOW AC=BD)------(1) AC-AE=EC(ACCORDING TO FIGURE) AND BD-BE=DE( ACC TO FIG) SO EC =DE AND AB=BE (FROM------1) By SAS POSTULATE OF SIMILARITY WHICh implies That two sides of a triangle are proportional and the included angle is same then.Triangle AEB ~Triangle DEC ('~' similarity sign) That implies that AE/EC=BE/DE=AB/DC (AE =BE AND DE=EC ,if these sides are equal then their ratio will also be the same) In conclusion midsegment does not bisect the diagonals but divides them in equal ratios as that of the top and bottom side. I hope this helps ⭐

[@blakearons1827]

I don`t know

[@ginny_m]

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What is the meaning of line above the letter? Thank youu

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I mean for example ∠ this sign stand for angle. So what is the line above the letter stands for?

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[@elijahlukechico700]

Wait where did +8 come from?

[@alminananong4221]

How to get the angle given only the base and the leg?

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When?

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Thanks

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How do you find AD though

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I don’t get anything

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Why does the angles have to be some algebra problem? When would this happen in the when real world. Thank you for your time and we appreciate the video.

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[@krstev29]

Can you solve this: Basics of an isosceles trapezoid with mutually perpendicular diagonals if already 12 cm and 8 cm. Calculate it the area of ​​the trapezoid. I got this in a competition, also sorry for bad english its google translated

[@thecosmos7671]

Please explain the question. 12cm and 8cm are length of sides or diagonals?

[@thecosmos7671]

In an isosceles trapezoid , diagonals are equal and two sides are equal too ,but the top and bottom side are not equal ,I guess you're describing those as 12 and 8 cm. If you'll explain, I'll try to help.

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9:39

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Length

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Bruh how is it so easy for you? HAHAHA

[@krstev29]

Its easy, what is to hard here if you know the bases and height.

[@GammystinY]

Welp I literally watched the whole vid but fk our teacher for giving diagonals only as given and not giving the base nor height

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