Question

note: the triangles are not drawn to scale.
are the two triangles congruent?
choose 1 answer:
a yes
b no
c there is not enough information to say.

Explanation:

Step1: Check the ratio of corresponding sides

For the first triangle with sides \(6\), \(8\), \(10\) and the second triangle with sides \(4.5\), \(6\), \(7.5\).
Calculate the ratios: \(\frac{4.5}{6}=\frac{3}{4}\), \(\frac{6}{8}=\frac{3}{4}\), \(\frac{7.5}{10}=\frac{3}{4}\)
Since the ratios of all corresponding sides are equal, by SSS (Side - Side - Side) similarity criterion, the triangles are similar. But for congruence, all corresponding sides must be equal. Here \(4.5
eq6\), \(6
eq8\), \(7.5
eq10\)

Answer:

B. No