Answer:
The abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.
HL.
Step-by-step explanation:
The Figure is attached below
Given:
AB = DE ; BC = EF
∠C = ∠F = 90°
To Prove:
ΔACB ≅ ΔDFE
Proof:
Hypotenuse Leg Theorem:
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The abbreviation is HL
In ΔACB and ΔDFE
AB ≅ DE ……….{Hypotenuse congruent Given}
BC ≅ EF ……….{Given}
∠C ≅ ∠F = 90° …………..{Measure of each angle is 90° given}
ΔACB ≅ ΔDFE ….{Hypotenuse Leg ( HL ) Theorem}
