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2. if triangles lmp and lno are similar, fill in the missing proportion…

Question

  1. if triangles lmp and lno are similar, fill in the missing proportion:

\\(\frac{lm}{ln} = \frac{mp}{?}\\)
options: lp, nm, no, po

Explanation:

Step1: Recall Similar Triangles Property

For similar triangles, corresponding sides are proportional. Triangles \( LMP \) and \( LNO \) are similar, so the order of the letters matters. \( L \) corresponds to \( L \), \( M \) corresponds to \( N \), and \( P \) corresponds to \( O \).

Step2: Identify Corresponding Sides

In the proportion \( \frac{LM}{LN} = \frac{MP}{?} \), \( LM \) corresponds to \( LN \), and \( MP \) should correspond to \( NO \) (since \( M \) corresponds to \( N \) and \( P \) corresponds to \( O \) in the similar triangles \( LMP \) and \( LNO \)).

Answer:

C. NO