Question

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

Explanation:

Step1: Recall triangle - side relationships

In a right - triangle, the side opposite an angle is the non - adjacent side that does not form the angle. The hypotenuse is the side opposite the right - angle. The adjacent side to an angle is one of the sides that form the angle.

Step2: Analyze side opposite ∠Q

The side opposite ∠Q is $\overline{RS}$.

Step3: Analyze side opposite ∠R

The side opposite ∠R is $\overline{QS}$, not $\overline{RQ}$.

Step4: Analyze the hypotenuse

Since ∠S = 90°, the hypotenuse is $\overline{QR}$.

Step5: Analyze side adjacent to ∠R

The side adjacent to ∠R is $\overline{RS}$, not $\overline{SQ}$.

Step6: Analyze side adjacent to ∠Q

The side adjacent to ∠Q is $\overline{QS}$.

Answer:

The side opposite ∠Q is $\overline{RS}$, the hypotenuse is $\overline{QR}$, the side adjacent to ∠Q is $\overline{QS}$