Question

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

Explanation:

Step1: Calculate side lengths

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

Step2: Check similarity ratio

\(\frac{CB'}{CB}=\frac{8}{4} = 2\), \(\frac{A'B'}{AB}=\frac{6}{3}=2\). Also, \(\angle ABC=\angle A'B'C = 90^{\circ}\). By SAS (Side - Angle - Side) similarity criterion, \(\triangle ABC\sim\triangle A'B'C\). Congruent triangles require equal side lengths, which they don't have.

Answer:

similar