Question

HURRY PLZZZ HELP Ashley says that the CDE ≅ FGH by the HL postulate.

In two or more complete sentences, explain why or why not Ashley is correct. Justify your answer using triangle congruency postulates, theorems, and definitions.

Answer 1

Answer: Ashley is incorrect. CDE ≅ FGH by the LL theorem.

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.