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.
