When two triangles have corresponding sides equal in length, then the two triangles are congruent.

SAS congruency Theorem

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AA congruency Theorem

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AAA congruency Theorem

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SSS congruency Theorem

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Solution

The correct option is C SSS congruency Theorem
All $3$ sides of a triangle are equal with all $3$ sides of another triangle then these two triangles are said to be congruent SSS congruency Theorem.
Therefore, D is the correct answer.

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Similar questions

Q. Under SAS congruency, corresponding two sides and the included angle of the two triangles should be equal.

Q. Choose the correct criteria to prove that two triangles are congruent:
Criteria:

A) All three corresponding sides are congruent.
B) Two angles and the side between them are congruent.
C) Two angles and a non-included side are congruent .
D) Two sides and the angle between them are congruent.
For the given congruency theorem which option is suitable.
1) SSS (side-side-side) =
2) SAS (side-angle-side) =
3) AAS (angle-angle-side) =
4) ASA (angle-side-angle) ) =

If two right-angled triangles have their hypotenuses and one side equal,
then the two triangles are congruent by SAS congruence rule.

Two triangles are congruent if two angles and the side included between them in one of the triangles are equal to the two angles and the side included between them of the other triangle. This is known as the

a) RHS congruence criterion
b) ASA congruence criterion
c) SAS congruence criterion
d) AAA congruence criterion

Q. By which congruency theorem will these triangles be proved that

Δ A B C ≅ Δ F E D

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When two triangles have corresponding sides equal in length, then the two triangles are congruent.

The correct option is C SSS congruency TheoremAll 3 sides of a triangle are equal with all 3 sides of another triangle then these two triangles are said to be congruent SSS congruency Theorem.Therefore, D is the correct answer.

The correct option is C SSS congruency Theorem
All $3$ sides of a triangle are equal with all $3$ sides of another triangle then these two triangles are said to be congruent SSS congruency Theorem.
Therefore, D is the correct answer.