Question

trig: identify opposite / adjacent / hypotenuse
score: 1/5 penalty: 1 off
question
which segment is adjacent to \\( \angle y \\) ?
answer
\\( \overline { y f } \\) \\( \overline { f m } \\) \\( \overline { y m } \\)

Explanation:

Step1: Recall the definition of adjacent side

In a right - triangle, for a given acute angle, the adjacent side is the non - hypotenuse side that forms the angle.
For angle \(Y\) in right - triangle \(FMY\) (\(\angle F = 90^{\circ}\)), the sides are \(FM\), \(FY\), and \(YM\) (where \(YM\) is the hypotenuse).

Step2: Identify the adjacent side

The side that forms angle \(Y\) (along with the hypotenuse \(YM\)) and is non - hypotenuse is \(YF\).

Answer:

\(\overline{YF}\)