Please choose an answer below.
A) KL ≅ RS
B) JI ≅ ST
C) ∠I ≅ ∠T
D) ∠J ≅ ∠S
![Please choose an answer below A KL RS B JI ST C I T D J S class=](https://us-static.z-dn.net/files/da6/9f3a95df0794d6ad615051063fbe2957.png)
Answer:
The correct Answer is option B
Therefore Additional Information is congruent hypotenuse
B ) JI ≅ ST
Step-by-step explanation:
Given:
JK ≅ RS
∠ K ≅ ∠ R =90°
To prove:
Δ JKI ≅ Δ SRT
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.
In Δ JKI and Δ SRT
JK ≅ RS ....……….{Given}
∠ K ≅ ∠ R =90° …………..{Measure each angle is 90°}
JI ≅ ST ........congruent hypotenuse {Additional Information}
Δ JKI ≅ Δ SRT ….{Hypotenuse leg test}
Therefore Additional Information is congruent hypotenuse
B ) JI ≅ ST