Question

similar figures test (topic 5)
△pig is similar to △cat
which proportion is correct?
○ $\frac{pi}{ca}=\frac{ig}{at}$
○ $\frac{pi}{ct}=\frac{ig}{ca}$
○ $\frac{pi}{at}=\frac{ig}{ca}$
○ $\frac{pi}{ca}=\frac{at}{ig}$

Explanation:

Step1: Recall similar - triangle property

For similar triangles $\triangle PIG$ and $\triangle CAT$, the ratios of corresponding sides are equal. That is, if side $PI$ corresponds to side $CA$, side $IG$ corresponds to side $AT$, and side $PG$ corresponds to side $CT$, then $\frac{PI}{CA}=\frac{IG}{AT}=\frac{PG}{CT}$.

Step2: Analyze the options

We need to find the proportion that represents the equality of ratios of corresponding sides.

Answer:

The correct proportion among the options (assuming the first - option is $\frac{PI}{CA}=\frac{IG}{AT}$) is the one that has the ratios of corresponding sides equal. Without seeing the full - clarity of the options due to the image quality, if the first option is $\frac{PI}{CA}=\frac{IG}{AT}$, then that is the correct answer as it represents the ratio of corresponding sides of similar triangles $\triangle PIG$ and $\triangle CAT$.