Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

based on the given information, which of the following can be used to p…

Question

based on the given information, which of the following can be used to prove these triangles are similar?
sss
sas
there is not enough information to prove these triangles are similar.
aa
question 4
true or false:

Explanation:

Step1: Calculate the ratios of corresponding sides

For \(\triangle KLM\) and \(\triangle PQR\),
\(\frac{KL}{PQ}=\frac{6}{8}=\frac{3}{4}\), \(\frac{KM}{PR}=\frac{12}{16}=\frac{3}{4}\), \(\frac{LM}{QR}=\frac{15}{20}=\frac{3}{4}\)

Step2: Check the similarity criterion

Since \(\frac{KL}{PQ}=\frac{KM}{PR}=\frac{LM}{QR}=\frac{3}{4}\), by the SSS (Side - Side - Side) similarity criterion, the two triangles are similar.

Answer:

SSS