Dilation involves changing the size of a line segment
The scale factor is 2
From the question (see attachment), we have the following side lengths
So, the scale factor (k) from AB to A'B' is calculated using the following scale factor formula
This gives
Divide 2.5 by 1.25
Hence, the scale factor is 2
Read more about dilations at:
Based on the construction, the length of the bridge deck is given by r = √(x² + y²) units.
<h3>What is a deck?</h3>A deck is also referred to as the roadway and it can be defined as the functional area which is designed and developed to allow automobile vehicles and pedestrians to cross highways, valleys, and water bodies.
In order to determine the length of the bridge deck, we would apply Pythagorean's theorem as follows:
r² = x² + y²
<u>Where:</u>
Making r the subject of formula, we have:
r = √(x² + y²)
Read more on Pythagorean theorem here: brainly.com/question/16176867
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