maths

(i) the triangles are congruent.

(ii) the triangles are not congruent.

Will their perimeters be the same?

$∴ar(ABC)=2+2=4$ sq.units

$ar(DEF)=2+2=4$ sq.units

$∴ar(ABC)=ar(DEF)$

Thus, Triangle are of equal areas and are congruent

Now, To check perimeter of both triangles,

As $△ABC≅△DEF$

By $CPCT$

$AB=DE$

$BC=EF$

$AC=DF$

$∴$ By adding,

$AB+BC+AC=DE+EF+DF$

$∴$ Perimeter of $△ABC$ = Perimeter of $△DEF$

$∴$ Perimeter of congruent triangle are also equal.

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If yes enter 1. else if No enter 0.

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In a $ΔABC$, BD is the median to the side AC, BD is produced to E such that BD = DE.

Hence, AE parallel to BC.

**State whether the above statement is true or false.**

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In Figure $,ΔFEC≅ΔGDB$ and $∠1=∠2.$ Prove that $ΔADE∼ΔABC$

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