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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.

Respuesta :

Answer: Side AC is congruent to side XZ.

Step-by-step explanation:

You have a pair of right angles and a pair of legs, so now you need a pair of congruent hypotenuses.

To prove that ΔABC ≅ ΔXYZ by HL, the additional information needed is Side AB is congruent to side XY, the correct option is C.

What is HL Congruence?

According to HL Congruence, two right triangles are congruent when the height and length of the triangles are equal.

∠ B = 90 degrees

BC = 20

∠ Y = 90 degrees

YZ = 20

To prove  ΔABC ≅ ΔXYZ by HL

The side which is the height of the right triangles should be equal.

AB should be equal to XY

To know more about  HL Congruence

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