Question

if the _______________________ of one triangle are congruent to the _____________________ of another triangle, then the two triangles are congruent. two triangles with labeled vertices a, b, c and x, y, z, with congruency marks on sides if... _ ≅ _, _ ≅ _, _ ≅ _ then... _ ≅ ___

Explanation:

The diagram shows all three corresponding sides of triangles ABC and XYZ are congruent, which aligns with the Side-Side-Side (SSS) triangle congruence postulate. This postulate states that if all three sides of one triangle match the three corresponding sides of another triangle, the triangles are congruent.

Answer:

Fill-in-the-blank statement:

If the three sides of one triangle are congruent to the three corresponding sides of another triangle, then the two triangles are congruent.

IF...:

$\overline{AB} \cong \overline{XY}$,
$\overline{BC} \cong \overline{YZ}$,
$\overline{AC} \cong \overline{XZ}$

THEN...:

$\triangle ABC \cong \triangle XYZ$