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