Respuesta :

The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.

Mathematically, this statement of the symmetric property of congruence can be written as:

If [tex] A\cong B [/tex], then [tex] B\cong A [/tex].

Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:

If [tex] \Delta EFG\cong \Delta HJK [/tex], then [tex] \Delta HJK\cong \Delta EFG [/tex] which is the exact statement of the symmetric property of congruence when applied to triangles.

Thus, Option D is the correct option.

ashishdwivedilVT

If triangle EFG≅triangle HJK and triangle HJK≅triangle MNP, then triangle EFG≅triangle MNP.

When Two triangles will be congruent?

Two triangles will be congruent if they are exactly the same, or corresponding sides, as well as corresponding angles, will be equal.

If a triangle EFG is congruent to triangle HJK:

EF=HJ

FG=JK

GE = KH

∠E= ∠H

∠F=∠J

∠G=∠K

If triangle HJK is congruent to triangle MNP:

HJ=MN

JK=NP

KH=PM

∠H=∠M

∠J=∠N

∠K=∠P

From the above conditions, we can say that

EF=MN

FG=NP

GE=PM

∠E=∠M

∠F= ∠N

∠G=∠P

So, triangle EFG≅triangle MNP.

Therefore, If triangle EFG≅triangle HJK and triangle HJK≅triangle MNP, then triangle EFG≅triangle MNP.

To get more about congruency visit:

https://brainly.com/question/2102943

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