Question

question 6
△abc was dilated from the origin by a scale factor to create △abc. which of the following is true for the similar triangles?
side ac is proportional to side ca.
side ac is proportional to side ab.
side ac is proportional to side ac.
side ac is proportional to side ab.

Explanation:

Step1: Recall dilation property

When a triangle is dilated from the origin to form a similar triangle, corresponding sides are proportional. In $\triangle ABC$ and $\triangle A'B'C'$, side $AC$ in $\triangle ABC$ corresponds to side $A'C'$ in $\triangle A'B'C'$.

Step2: Analyze options

Options with non - corresponding sides (like side $AC$ and side $CA$ which is the same side in the original triangle, side $AC$ and side $AB$ which are non - corresponding sides in the same triangle, side $AC$ and side $A'B'$ which are non - corresponding sides) are incorrect.

Answer:

Side $AC$ is proportional to side $A'C'$