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43. If L is the midpoint of KN and MP, which
method can be used to prove the triangles are
congruent?
M
K
A. Side-Side-Side
B. Side-Angle-Side
C. Angle-Side-Angle
D. Angle-Angle-Side

Respuesta :

MrRoyal

Answer:

Side-Angle-Side

Step-by-step explanation:

See attachment for figures

Given

Midpoint L

Lines KN and MP

Required

Which method proves the congruency of the triangles

Since L is the midpoint, then the following relationship exists:

  • KL = NL
  • ML = PL

This implies that two sides of both triangles are equal

Also, because KN is a transversal of MP and vice versa, then angles KLM and PLN are equal

Conclusively, 2 corresponding sides and 1 corresponding angle have been proven to be equal.

Hence, the method that prove that the triangles are equal is Side-Angle-Side (SAS)

Ver imagen MrRoyal

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