Question

which triangle congruence postulate or theorem proves that these triangles are congruent?(image is not drawn to scale)

Answer 1

RHS congruence postulate

Explanation:

RHS congruence postulate:

If the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, then the two triangles are congruent by RHS congruence postulate.

In ΔBAC and ΔEFD

∠A = ∠F = 90° Given - Right angle

BC = ED Given - hypotenuse

BA = EF Given - side

ΔBAC ≅ ΔEFD by RHS congruence postulate.