which statements are true about triangle qrs? select three options. the side opposite ∠q is (overline{rs})…

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}).

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}).

Answer

Explanation:

Step1: Recall angle - 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.

Step2: Analyze side opposite ∠Q

The side opposite ∠Q is $\overline{RS}$. This is correct as it is the non - adjacent side to ∠Q.

Step3: Analyze side opposite ∠R

The side opposite ∠R is $\overline{QS}$, not $\overline{RQ}$. So the statement "The side opposite ∠R is $\overline{RQ}$" is false.

Step4: Analyze the hypotenuse

In right - triangle QRS with right - angle at S, the hypotenuse is the side opposite the right - angle. So the hypotenuse is $\overline{QR}$. This is correct.

Step5: Analyze side adjacent to ∠R

The side adjacent to ∠R is $\overline{RS}$, not $\overline{SQ}$. So the statement "The side adjacent to ∠R is $\overline{SQ}$" is false.

Step6: Analyze side adjacent to ∠Q

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

Answer:

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