Question

if triangle ABC ~ triangle PQR write the corresponding angles of two Triangles and write the ratios of corresponding sides​

Answer 1

Answer:

Step-by-step explanation:

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

∆ABC ~ ∆PQR

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 Ration Would Be