Question

similar figures test (topic 5)
△fg is similar to △cat
which proportion is correct?
○ fg/ac = gt/at
○ fg/at = gt/ac
○ fg/ac = at/gt
○ fg/gt = ac/at

Explanation:

Step1: Recall similarity - side - ratio property

For similar triangles, the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

If \(\triangle FJG\sim\triangle CAT\), then the correct proportion of corresponding sides should be set up. For example, if \(FJ\) corresponds to \(CA\), \(JG\) corresponds to \(AT\), and \(FG\) corresponds to \(CT\), the proportion \(\frac{FJ}{CA}=\frac{JG}{AT}=\frac{FG}{CT}\). Without seeing the actual options clearly (assuming the options are in the form of side - to - side ratios), we know that the correct proportion will have corresponding sides in the numerators and denominators of the equal fractions.

Answer:

(Without seeing the clear options, we cannot provide a specific option. But the general rule is that the proportion should be of the form \(\frac{\text{corresponding side in }\triangle FJG}{\text{corresponding side in }\triangle CAT}=\frac{\text{another corresponding side in }\triangle FJG}{\text{another corresponding side in }\triangle CAT}\))