Angle b = 90 degrees, side bc = 20, angle y = 90 degrees, and side yz = 20. what additional information would you need to prove that δabc ≅ δxyz by hl?

angle a is congruent to angle x.
angle b is congruent to angle y.
side ab is congruent to side xy.
side ac is congruent to side xz.

Therefore,additional information would you need to prove that ΔABC ≅ ΔXYZ by HL is

Side AC is congruent to side XZ.

Step-by-step explanation:

Given:

Angle B = 90 degrees,

side BC = 20,

angle Y = 90 degrees, and

side YZ = 20.

To Prove:

ΔABC ≅ ΔXYZ    by   Hypotenuse Leg theorem

Proof:

In  Δ ABC and Δ XYZ

BC ≅ YZ     ……….{Each side measure is 20 given}

∠B ≅ ∠Y     ……….{Each angle measure is 90° given}

AC ≅ XZ     ……….{Additional information requirement (Hypotenuse)}

Δ ABC ≅ Δ XYZ ….{By Hypotenuse Leg test}

Therefore,additional information would you need to prove that ΔABC ≅ ΔXYZ by HL is

Side AC is congruent to side XZ.