Question

Please choose an answer below.

A) KL ≅ RS
B) JI ≅ ST
C) ∠I ≅ ∠T
D) ∠J ≅ ∠S

Answer 1

The correct Answer is option B

Therefore Additional Information is congruent hypotenuse

B ) JI ≅ ST

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