Question

if triangle abc = triangle pqr then ab Corresponds to​

Answer 1

Answer:

HeyMateHereIsYourAnswer

GivenThat....

∆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...

Solution..

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

∆ABC ~ ∆PQR

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 Ration Would Be

1:1

Thanks

Answer 2

Step-by-step explanation:

• If two figures or objects have the same shape and size, or if one has the same shape and size as the mirror image of the other, they are said to be congruent.
• Similarly, when two triangles are identical to each other, they are said to be equal/congruent to each other.
• We know, when two triangles are congruent, there is one to one correspondence between them that is, the measure of each side and angle of each triangle corresponds to a side or angle of the other triangle.
• Hence, Since $\triangle ABC=\triangle PQR$, according to one to one correspondence,

       ⇒ $AB$ corresponds to $PQ$.