Given triangle $△\mathrm{jkl}$, which of the following triangles is similar to it?

• A. $△\mathrm{jkm}$
• B. $△\mathrm{kml}$
• C. $△\mathrm{ljk}$
• D. $△\mathrm{mkl}$

Answer: (C)

Verified step by step guidance

1. Recall that two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.
2. Identify the order of vertices in the given triangle \(\triangle jkl\). The order of vertices indicates the correspondence of angles: angle \(j\) corresponds to the first vertex, angle \(k\) to the second, and angle \(l\) to the third.
3. For each candidate triangle, compare the order of vertices to \(\triangle jkl\) to see if the angles correspond in the same order. For example, in \(\triangle ljk\), the first vertex is \(l\), the second is \(j\), and the third is \(k\).
4. Check if the angles in the candidate triangle match the angles in \(\triangle jkl\) by matching the vertices in the same order. If the order of vertices corresponds to the same angles, then the triangles are similar.
5. Conclude that the triangle with vertices ordered to match the angle correspondence of \(\triangle jkl\) is the similar triangle.