Question

Its said That ∆ABC ~ ∆PQR Write All Corresponding Angles Nad zsides And The Ratios Of sides

Answer 1

$\underline{\bold{Hey\:Mate\:Here\:Is\:Your\:Answer\:}}$

$\underline{\bold{Given\:That....}}$

∆ABC ~ ∆PQR(Let ~ this be the Symbol Of Congruent ) And Now We Need To Find all Corresponding Angles 

of The Two Triangle And We Need To Also Find All Ratio Of all Corresponding Sides 

Now Let's Move For Solution...

$\underline{\bold{Solution..}}$

Now According To Question It's Said That ...

∆ABC ~ ∆PQR

$\underline{\bold{Note-}}$When It's Given That A Triangle Is Congruent With Another Triangle Then 

The Corresponding Angles And Sides Would Be also In The Form OF Given Order .

Example-

Let ...

∆EFG ~ ∆XYZ So Here EFG & XYZ Are Congruent Therefore The Corresponding Angles Would Be ..

< EFG & <XYZ ,

<FGE & < YZX 

< GEF & <ZXY 

Therefore This All Where The Corresponding Angles.. Now It's Corresponding Sides Are ...

EF & XY 

FG & YZ 

GE & ZX 

Hence This All Where The Corresponding Sides And Angles ...

Now In Question It's Given That ∆ABC ~ ∆PQR ...

Therefore It's Corresponding Angles Would Be

<ABC & < PQR ,

<BCA & <QRA,

<CAB & <RPQ 

Hence, This All Are The Corresponding Angles Of ∆ ABC & ∆ PQR ..

Now It's Corresponding Sides Are ...

AB & PQ ,

BC & QR, 

CA & RP

Now By Theorem oF C.P.C.T Are Equal That Is Corresponding Parts Of Congruent Triangles Are Equal..

Therefore Here 

AB = PQ 

BC = QR 

CA = RP 

As This Sides Are Equal So Their Ratio Would Be 

$\boxed{\bold{ 1\: : \: 1 :\:1}}$

$\boxed{\boxed{\bold{Thanks}}}$

Answer 2

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