- The side lengths are given by SU = VX = 43 feet.
- The angle measure are given by m<S = m<V = 38°.
Corresponding parts of two congruent figures.
In Mathematics, two geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.
Since we know that rigid motions preserve both the side length and angle measure, this ultimately implies that congruent segments have the same (equal) length.
Thus, line segment UV ≅ line segment XY i.e UV = XY and as such the side lengths are as follows:
SU = VX = 43 feet.
For the congruent angles, we have:
<J ≅ <K i.e m<J = m<K
m<S = m<V = 38°.
Read more on congruency here: brainly.com/question/11844452
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