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Triangles L K N and P Q M are shown. Sides K L and Q P are congruent. Angles L K N and P Q M are right angles.
What additional information is needed to prove that the triangles are congruent using the ASA congruence theorem?

NL ≅ MP
NK ≅ MQ
AngleN ≅ AngleM
AngleL ≅ AngleP

Respuesta :

bhuvna789456

Additional information required is ∠L ≅ ∠P

Step-by-step explanation:

  • Step 1: Find additional information required to prove the ASA theorem.

The ASA congruence theorem is the Angle-Side-Angle Theorem where 2 angles and the side included between these 2 angles should be congruent.

Given that KL ≅ QP and ∠K ≅ ∠Q.

Now that one congruent angle and one side are found, the other angle is  additionally needed.

⇒ Additional information required is ∠L ≅ ∠P

akposevictor

For ΔLKN and ΔPQM to be proven congruent by the ASA congruence theorem, the additional information needed is: D. ∠L ≅ ∠P

The ASA Congruence Theorem

  • ASA stands for angle-side-angle congruence theorem.
  • The ASA congruence theorem proves two triangles to be congruent if they both have two pairs of congruent angles and a pair of congruent sides.

We are given that, ΔLKN and ΔPQM has:

  • one pair of congruent angles - ∠LKN ≅ ∠PQM
  • one pair of congruent sides - KL ≅  QP

Therefore, for ΔLKN and ΔPQM to be proven congruent by the ASA congruence theorem, the additional information needed is: D. ∠L ≅ ∠P

Learn more about ASA congruence theorem on:

https://brainly.com/question/3168048

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