Question

1. \\( \triangle t r d \sim \triangle t ^ { prime } r ^ { prime } d ^ { prime } \\)

scale factor:
enlargement / reduction / \\( \cong / \
ot \cong \\)

Explanation:

Step1: Find the ratio of corresponding sides

We can use the sides \(TD = 15\) and \(T'D'=5\). The scale factor formula is \(\text{Scale Factor}=\frac{\text{Length of side in image}}{\text{Length of corresponding side in pre - image}}\). So, \(\text{Scale Factor}=\frac{5}{15}\).

Step2: Simplify the ratio

Simplify \(\frac{5}{15}\) by dividing numerator and denominator by 5. \(\frac{5\div5}{15\div5}=\frac{1}{3}\).
Since the scale factor \(\frac{1}{3}<1\), it is a reduction.

Answer:

Scale Factor: \(\frac{1}{3}\), Reduction.