Question

Julia examines the two triangles below and determines that Triangle F G H is similar to triangle L N M.

Triangle F G H. Angle F is 98.6 degrees and angle G is 61.1 degrees. Triangle L N M. Angle M is 18.3 degrees and angle L is 98.6 degrees.

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.

Answer 1

Julia's solution is inaccurate because the triangles are not similar due to the lack of congruent angles.

Step-by-step explanation:

Julia's solution is inaccurate because the triangles are not similar. In order for two triangles to be similar, their corresponding angles must be congruent.

However, angle M is not congruent to angle H, and angle N is not congruent to angle G. Therefore, the triangles cannot be similar.