Question

- To make a parallelogram , square, rectangle and Trapezium using set square​

Answer 1

$\huge\{\underline{\underline{\sf{\purple{Answer:-}}}}$

pαrαllєlσgrαm:

αs thє nαmє sαчs, ít must hαvє sσmєthíng pαrαllєl. sσ, α pαrαllєlσgrαm ís α quαdrílαtєrαl whích hαs σppσsítє sídєs pαrαllєl.

ᑭᖇOᑭEᖇTY 1

TᕼE OᑭᑭOᔕITE ᔕIᗪEᔕ Oᖴ ᗩ ᑭᗩᖇᗩᒪᒪEᒪOGᖇᗩᗰ ᗩᖇE Oᖴ Eᑫᑌᗩᒪ ᒪEᑎGTᕼ I.E. ᗩᗷ = ᗪᑕ ᗩᑎᗪ ᗷᑕ = ᗩᗪ.

ᑭᖇOᑭEᖇTY 2:

TᕼE OᑭᑭOᔕITE ᗩᑎGᒪEᔕ Oᖴ ᗩ ᑭᗩᖇᗩᒪᒪEᒪOGᖇᗩᗰ ᗩᖇE Oᖴ Eᑫᑌᗩᒪ ᗰEᗩᔕᑌᖇE I.E. ∠ᗩ =∠ᑕ ᗩᑎᗪ ∠ᗷ = ∠ᗪ.

ᑭᖇOᑭEᖇTY 3:

TᕼE ᗪIᗩGOᑎᗩᒪᔕ Oᖴ ᗩ ᑭᗩᖇᗩᒪᒪEᒪOGᖇᗩᗰ ᗷIᔕEᑕT Eᗩᑕᕼ OTᕼEᖇ (ᗩT TᕼE ᑭOIᑎT Oᖴ TᕼEIᖇ IᑎTEᖇᔕEᑕTIOᑎ) I.E. ᗩE = ᑕE ᗩᑎᗪ ᗷE = ᗪE.

rєctαnglє:

α rєctαnglє íѕ α pαrαllєlσgrαm wíth єquαl αnglєѕ. ѕσ, thíѕ mєαnѕ α rєctαnglє hαѕ ínhєrítєd αll thє prσpєrtíєѕ σf α pαrαllєlσgrαm αnd ín αddítíσn tσ thαt ít íѕ hαvíng αll αnglєѕ єquαl.

ᕼᗴᖇᗴ, ᗩᗷ = ᑕᗪ ᗩᑎᗪ ᗷᑕ = ᗩᗪ.

ᗩᑎᗪ ∠ᗩ =∠ᗷ = ∠ᑕ = ∠ᗪ (ᗩᒪᒪ ᗩᑎǤᒪᗴᔕ ᗩᖇᗴ ᗴɊᑌᗩᒪ)

ᑭᖇᗝᑭᗴᖇ丅Ƴ 1:

ᗩ ᖇᗴᑕ丅ᗩᑎǤᒪᗴ Ꭵᔕ ᗩ ᑭᗩᖇᗩᒪᒪᗴᒪᗝǤᖇᗩᗰ Ꭵᑎ ᗯᕼᎥᑕᕼ ᗴᐯᗴᖇƳ ᗩᑎǤᒪᗴ Ꭵᔕ ᗩ ᖇᎥǤᕼ丅 ᗩᑎǤᒪᗴ Ꭵ.ᗴ. ∠ᗩ =∠ᗷ = ∠ᑕ = ∠ᗪ = 90°.

ᑭᖇᗝᑭᗴᖇ丅Ƴ 2:

丅ᕼᗴ ᗪᎥᗩǤᗝᑎᗩᒪᔕ ᗝᖴ ᗩ ᖇᗴᑕ丅ᗩᑎǤᒪᗴ ᗩᖇᗴ ᗝᖴ ᗴɊᑌᗩᒪ ᒪᗴᑎǤ丅ᕼ Ꭵ.ᗴ. ᗩᑕ = ᗷᗪ.

ᑭᖇᗝᑭᗴᖇ丅Ƴ 3:

丅ᕼᗴ ᗪᎥᗩǤᗝᑎᗩᒪᔕ ᗝᖴ ᗩ ᖇᗴᑕ丅ᗩᑎǤᒪᗴ ᗷᎥᔕᗴᑕ丅 ᗴᗩᑕᕼ ᗝ丅ᕼᗴᖇ (ᗩ丅 丅ᕼᗴ ᑭᗝᎥᑎ丅 ᗝᖴ 丅ᕼᗴᎥᖇ Ꭵᑎ丅ᗴᖇᔕᗴᑕ丅Ꭵᗝᑎ).

ᔕᗝ, 丅ᕼᗴᔕᗴ ᗯᗴᖇᗴ ᗩᒪᒪ ᑭᖇᗝᑭᗴᖇ丅Ꭵᗴᔕ ᗝᖴ ᗩ ᖇᗴᑕ丅ᗩᑎǤᒪᗴ ᗷᗴᎥᑎǤ ᗩ ᑭᗩᖇᗩᒪᒪᗴᒪᗝǤᖇᗩᗰ.

rhσmвuѕ:

α pαrαllєlσgrαm wíth ѕídєѕ σf єquαl lєngth íѕ cαllєd α rhσmвuѕ.

ѕσ, αѕ ít ѕαчѕ α rhσmвuѕ íѕ αlѕσ α pαrαllєlσgrαm whích mєαnѕ ít hαѕ αlѕσ ínhєrítєd αll thє prσpєrtíєѕ σf α pαrαllєlσgrαm αnd ít íѕ hαvíng αll ѕídєѕ єquαl σthєr thαn thαt.

ᗩᗷ = ᗷᑕ = ᑕᗪ = ᗪᗩ (ᗩᒪᒪ ᔕIᗪEᔕ ᗩᖇE Eᑫᑌᗩᒪ)

ᑭᖇOᑭEᖇTY 1:

ᗩᒪᒪ ᔕIᗪEᔕ ᗩᖇE Oᖴ Eᑫᑌᗩᒪ ᒪEᑎGTᕼ I.E. ᗩᗷ = ᗷᑕ = ᑕᗪ = ᗪᗩ.

ᑭᖇOᑭEᖇTY 2:

TᕼE ᗪIᗩGOᑎᗩᒪᔕ Oᖴ ᗩ ᖇᕼOᗰᗷᑌᔕ ᗩᖇE ᑭEᖇᑭEᑎᗪIᑕᑌᒪᗩᖇ ᗷIᔕEᑕTOᖇᔕ Oᖴ OᑎE ᗩᑎOTᕼEᖇ I.E. ᗩO = ᑕO ᗩᑎᗪ ᗷO = ᗪO ᗩᑎᗪ ∠ᗩOᗷ =∠ᗷOᑕ = ∠ᑕOᗪ = ∠ᗪOᗩ = 90°.

ᑎOᗯ, ᗯE ᗩᖇE ᒪEᖴT ᗯITᕼ TᕼE ᒪᗩᔕT OᑎE I.E. ᔕᑫᑌᗩᖇE.

ѕquαrє:

α rєctαnglє wíth ѕídєѕ σf єquαl lєngth íѕ cαllєd α ѕquαrє.

ѕíncє thє ѕquαrє íѕ thє lαѕt σnє ín thє híєrαrchч, thєrєfσrє, ít muѕt hαvє αll thє prσpєrtíєѕ σf α pαrαllєlσgrαm, rєctαnglє, αnd rhσmвuѕ.

ѕσ, tσ gєt thє prσpєrtíєѕ σf α ѕquαrє juѕt ѕum up αll thє prσpєrtíєѕ чσu hαvє lєαrnєd ѕσ fαr.

ᑭᖇOᑭEᖇTY 1:

Iᑎ ᗩ ᔕᑫᑌᗩᖇE, EᐯEᖇY ᗩᑎGᒪE Iᔕ ᗩ ᖇIGᕼT ᗩᑎGᒪE.

ᑭᖇOᑭEᖇTY 2:

TᕼE ᗪIᗩGOᑎᗩᒪᔕ Oᖴ ᗩ ᔕᑫᑌᗩᖇE ᗩᖇE Oᖴ Eᑫᑌᗩᒪ ᒪEᑎGTᕼ ᗩᑎᗪ ᑭEᖇᑭEᑎᗪIᑕᑌᒪᗩᖇ ᗷIᔕEᑕTOᖇᔕ Oᖴ Eᗩᑕᕼ OTᕼEᖇ.