THEOREMS ON TRAPEZOIDS & MIDSEGMENT THEOREM | GRADE 9

Study the different theorems on trapezoid and the midsegment theorem
A trapezoid is a convex quadrilateral with exactly one pair of parallel sides.
The bases of a trapezoid are the two parallel sides.
The legs of a trapezoid are the two non-parallel sides.
An isosceles trapezoid is a trapezoid with congruent legs.
The median of a trapezoid is the segment that joins the midpoints of the legs.
Theorem 6: The median of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.
•Theorem 7: The base angles of an isosceles trapezoid are congruent.
•Theorem 8 : The opposite angles of an isosceles trapezoid are supplementary.
•Theorem 9: The diagonals of an isosceles trapezoid are congruent.
Sample Exercises:
Given: Quadrilateral MATH is an isosceles trapezoid with bases MA and HT, LV is a median
1. Given: MA = 3y - 2; HT = 2y + 4; LV = 8.5 cm.
Questions:
• What is the value of y?
• How did you solve for y?
• What are MA and HT?
2. Given: angle HMA = 115
Questions:
• What is m angle TAM?
• What theorem justifies your answer?
3. Given: angle MHT = 3x + 10; angle MAT = 2x - 5
Questions:
• What is the value of x?
• How did you solve for x?
• What are the measures of the two angles?
• What theorem justifies your answer?
4. Given: AH = 4y - 3; MT = 2y +5
Questions:
• What is the value of y?
• How did you solve for y?
• How long is each diagonal?
• What theorem justifies your answer?

[@VEETEACHCHANNEL]

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[@vivasmikeea.145]

Ty so much teacher vee for helping us for sharing your knowledge😇 napakahusyay nyo pong magturo ❤️

[@christinejoypimentel4232]

Thankyou so much teacher vee. Makakatulong po ito sakin sobra❣️

[@angelieprulla1311]

THANK YOUUU MA'AM ❤️

[@margofigura9700]

Salamat nahihirapan tlga Ako sa geometry TAs may mga assignments pa kami na hindi ko naintindihan

[@louschannel2597]

Ma'am sobrang nakatulong po to sakin salamat po❤️😊

[@hdmj_e]

still watching this thank you

[@sofiarachelamparo9550]

Thank you po ma'am :D Permission to screenshot po ng mga examples nyo po. Thank you po and More power.

[@lurejanandrade61]

Thank you ma'am Ang galing NYU nmn una d kupa masyado maintindihan Ngayon alam kuna kng paano mag solve

[@daniellaamoroso5954]

thnkyou maam may natutunan nanamn poko♥️

[@embermalutao19]

Napakalaking tulong po nito....❤️

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Thank you po Maam marami po akong natutunan🥰

[@VEETEACHCHANNEL]

Keep it up❣️

[@神死-f5w]

u came from organic chemistry too, right？

[@MarkArthurGuzman-bi4cj]

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Nice presentation ma'am! :)

[@embermalutao19]

Thank u so much mam vee😚😚

[@jamesmichaeltapia3610]

Thankyou so much po❤

[@bambam1525]

Thank you po💓💓 Btw maam ask ko lang po Para po ba maging parallel ay kailangan pantay po ang sides?

[@markley2071]

Thank you po Ma'am 💖

[@markjosephsamson6040]

Maaam pano po pag may x ung isosceles

[@laurencesantosidad4862]

thank u so much Ma'am :)

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Ty po ma'am .... ❤️❤️❤️ Ingat po

[@aine4423]

thank you po ma'am vee!! 💛

[@VEETEACHCHANNEL]

You're welcome 😊

[@louschannel2597]

Ma'am pano po pag leg po yung given?

[@MitchAllenR.Francisco]

pano po makukuha ung mga numbers sa letters?

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Thank you po ma'am 💗

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Thank you po

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welcome always!

[@RossanaJanipin1122]

Mam pano po to isosceles trapezoid. GIVEN THE ISOSCELES TRAPEZOID ABCD. IF AC=56cm,what is DB? Sana po masagot nyo po salamat po!!

[@chrystalgamolo906]

Same lang po yan since same po ng measurement yung legs po

[@_juwelry._]

Ayoko na

[@TeacherAizDumuk]

Just wanna share. May toy na hugis trapezoid yung anak ko. Sa tuwing tinatanong niya what shape is this nanay, sabi ko wait i'll check sa Google. 😁 Until i saw this vid 😁

[@ayinflorido3516]

thankyou po maam