Respuesta :

Answer:

Option A.

Step-by-step explanation:

In the given triangles XYZ and ACB,

∠X ≅ ∠A ≅ 90°

∠Z ≅ ∠C

And ∠Y ≅ ∠B

Measures of the corresponding angles in the given triangles XYZ and ACB are same.

Therefore, ΔXZY ≅ ΔACB

[We will write the corresponding angles of ΔABC in the same order as given for ΔXZY.]

Option A. will be the correct option.

The statement is :ΔXZY ≅ ΔACB

What is Congruency?

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

In the given ΔXYZ and ΔACB,

∠X = ∠A  =  90°

and, ∠Z  = ∠C

and, ∠Y = ∠B

As, Measures of the corresponding angles is equal.

Hence, ΔXZY ≅ ΔACB

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