Answer:
FH≅FH by reflexive property.
Step-by-step explanation:
△ ≅ △ using the Hypotenuse-Leg (HL) theorem, we need to show two things:
1. The hypotenuses of both triangles are congruent.
2. One leg of both triangles is congruent.
From the given information:
1. ∠ and ∠ are right angles, so △ and △ are right triangles.
2. ≅ , which means the hypotenuses of the two triangles are congruent.
Now, we need one leg to be congruent. In this case, is the same line segment for both triangles, so ≅ by the reflexive property (a segment is always congruent to itself).
Therefore, we have:
- The hypotenuses ( and ) are congruent.
- One leg (FH) is congruent to itself.
This kinda proves the Hypotenuse-Leg (HL) theorem, proving that △≅△
So the answer is:
≅ by reflexive property.
