In and , the proportionality holds, but . Explain why the two triangles are not…

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

\triangle XYZ

and

\triangle LMN

, the proportionality

\dfrac{XY}{LM} = \dfrac{XZ}{LN} = \dfrac{2}{3}

holds, but

\angle X \ne \angle L

. Explain why the two triangles are not similar.