Question

what is the relationship between △abc and △abc? similar congruent neither similar nor congruent

Explanation:

Step1: Calculate the side lengths

For \(\triangle ABC\), \(CB = 4\), \(AB=3\).
For \(\triangle A'B'C'\), \(C'B' = 8\), \(A'B'=6\).

Step2: Check the ratios

\(\frac{CB}{C'B'}=\frac{4}{8}=\frac{1}{2}\), \(\frac{AB}{A'B'}=\frac{3}{6}=\frac{1}{2}\). Also, \(\angle ABC=\angle A'B'C' = 90^{\circ}\). By the Side - Angle - Side (SAS) similarity criterion, \(\triangle ABC\sim\triangle A'B'C'\).

Answer:

similar