Question

which statements are true about triangle qrs? select three options. the side opposite ∠q is \\(overline{rs}\\). the side opposite ∠r is \\(overline{rq}\\). the hypotenuse is \\(overline{qr}\\). the side adjacent to ∠r is \\(overline{sq}\\). the side adjacent to ∠q is \\(overline{qs}\\).

Explanation:

1. For a right triangle, the side opposite an angle does not form the angle. ∠Q is formed by QS and QR, so the opposite side is RS.
2. The hypotenuse is the side opposite the right angle (∠S), which is QR.
3. The side adjacent to ∠R forms the angle with the hypotenuse; ∠R is formed by QR and RS, so the adjacent side (excluding hypotenuse) is SQ.
4. ∠R's opposite side is QS, not RQ, so that statement is false.
5. ∠Q's adjacent side is QR (not QS), so that statement is false.

Answer:

• The side opposite ∠Q is $\overline{RS}$.
• The hypotenuse is $\overline{QR}$.
• The side adjacent to ∠R is $\overline{SQ}$.