Question

What is a correct congruence statement for the triangles shown?

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​ △ ​ ​ ≅△NKW ​


HELP PLs ThaNKs

Answer 1

The correct congruence statement for the triangles are ASA congruence.

Explanation:

In the given figures ΔRHS≅ΔNKW

we have to give the correct congruence statement for these triangles

In ΔRHS and ΔNKW

∠RHS=∠NKW (∵Given)

HS=KW (∵Given)

∠HSR=∠KWN (∵Given)

Here, two angles and one side between them are equal. So by ASA criteria which states that when two corresponding angles of the triangles are equal with included one side between them is equal, then both triangles are congruent. ΔRHS≅ΔNKW.

Hence, the correct congruence statement for the triangles are ASA congruence.

Answer 2

ΔRHS ≅ ΔNKW

Explanation:

We are given that, in the triangles RHS and NKW.

∠H = ∠K

Side HS = KW.

∠S = ∠W

Now, using the ASA congruence criteria, which states that when two corresponding angles of the triangles are equal with the included side between them is equal, then both the triangles are congruent.

Hence, according to ASA criteria, ΔRHS ≅ ΔNKW.