Question

1 fill in the blank 2 points
2.
the two triangles
choose your answer...
choose your answer...
are not similar
are similar

Explanation:

Step1: Check the ratio of corresponding sides

For triangle \(PMX\) with sides \(9\), \(12\), \(15\) and triangle \(AWL\) with sides \(12\), \(16\), \(20\).
Calculate \(\frac{9}{12}=\frac{3}{4}\), \(\frac{12}{16}=\frac{3}{4}\), \(\frac{15}{20}=\frac{3}{4}\)

Step2: Apply the SSS (Side - Side - Side) similarity criterion

Since the ratios of the corresponding sides of the two triangles are equal (\(\frac{PM}{AW}=\frac{MX}{WL}=\frac{PX}{AL}=\frac{3}{4}\)), by the SSS similarity criterion, the two triangles are similar.

Answer:

are similar