Answer:
Ashley is incorrect. CDE ≅ FGH by the LL theorem.
Step-by-step explanation:
In the given picture, there are two triangles ΔCDE and ΔFHG which are right triangle [Since ∠D=∠H=90°].
In ΔCDE and ΔFHG.
CD=HF
DE=HG
∠D=∠H=90°
Therefore, by LL theorem,
ΔCDE ≅ ΔFHG.
Therefore, Ashley is incorrect. CDE ≅ FGH by the LL theorem.
LL theorem says that if the legs of one right triangle are congruent to the legs of other right triangle, then the triangles are said to be congruent.
The HL Theorem says if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of other right triangle, then the triangles are said to be congruent.
