Question

question 43 of 45 which of the following verifies that △cow is similar to △pig? a. sas theorem b. similarity cannot be determined. c. sss theorem d. aa postulate

Explanation:

Step1: Calculate side - length ratios

For \(\triangle COW\) with side - lengths \(CO = 4\), \(OW = 5\), \(CW = 7\), and for \(\triangle PIG\) with side - lengths \(PI=12\), \(IG = 15\), \(PG = 21\). Calculate the ratios of corresponding sides: \(\frac{CO}{PI}=\frac{4}{12}=\frac{1}{3}\), \(\frac{OW}{IG}=\frac{5}{15}=\frac{1}{3}\), \(\frac{CW}{PG}=\frac{7}{21}=\frac{1}{3}\).

Step2: Apply similarity theorem

Since \(\frac{CO}{PI}=\frac{OW}{IG}=\frac{CW}{PG}\), by the SSS (Side - Side - Side) similarity theorem, which states that if the ratios of the corresponding side - lengths of two triangles are equal, then the two triangles are similar.

Answer:

C. SSS theorem