Question

trig: identify opposite / adjacent / hypotenuse
score: 2/5 penalty: 1 off
question
which segment is adjacent to \\( \angle u \\)?
answer
\\( \overline { d u } \\)
\\( \overline { d o } \\)
\\( \overline { o u } \\)

Explanation:

Step1: Recall the definition of adjacent side in a right - triangle

In a right - triangle, for a given acute angle, the adjacent side is the non - hypotenuse side that forms the angle.

Step2: Analyze the sides relative to \(\angle U\)

• The hypotenuse is \(DU\) (opposite the right angle \(\angle O\)).
• The side opposite \(\angle U\) is \(DO\) (does not form \(\angle U\)).
• The side \(\overline{OU}\) forms \(\angle U\) along with the hypotenuse \(DU\) and is non - hypotenuse.

Answer:

\(\overline{OU}\)