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Julia examines the two triangles below and determines that .



Which best describes the accuracy of Julia’s solution?
Accurate. The triangles are similar and the congruent angles are listed in corresponding order.
Inaccurate. The triangles are not similar because the sum of the angles in each triangle is not 180º.
Inaccurate. The triangles are similar, but the triangles are named incorrectly. The vertices are listed out of corresponding order.
Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

Julia examines the two triangles below and determines that Which best describes the accuracy of Julias solution Accurate The triangles are similar and the congr class=

Respuesta :

Matheng

IN Δ MLN:


∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1



IN Δ FGH:


∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3



∴ ONLY ∠N = ∠F = 98.6


There is no other congruent angles


So, The correct statement is :

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.



akposevictor

Therefore we can conclude that Julia's solution is: Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

Recall:

If two triangles are similar toe each other, it follows that the three angles of one triangle are congruent to the three corresponding angles of the other triangle, otherwise they are not similar.

Thus:

Julia stated that ΔFGH ≅ ΔLMN.

In the image given, we have the following:

  • m∠F = m∠L = 98.6° (one pair of congruent angles)
  • m∠G = 61.1°,
  • m∠M = 18.3°
  • m∠N = 63.1°
  • m∠H = 20.3°

Since both triangles do not have three pairs of angles that are congruent to each other, therefore we can conclude that Julia's solution is: Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

Learn more about similar triangles on:

https://brainly.com/question/2644832

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