Question

based only on the information given in the diagram, it is guaranteed that △abc ~ △def.
a. true
b. false

Explanation:

Step1: Recall similarity criteria

For two right - angled triangles to be similar, we need either two pairs of corresponding angles to be equal or the ratios of corresponding sides to be equal. Here, only one pair of sides ($AC = 14$ and $DF=7$) and right - angles are given. We don't have enough information about other angles or side - length ratios.

Answer:

B. False