Which statements are true about triangle QRS? Check all that apply.

The side opposite ∠Q is RS.
The side opposite ∠Q is RQ.
The hypotenuse is QR.
The side adjacent to ∠R is SQ.
The side adjacent to ∠Q is QS.

Which statements are true about triangle QRS Check all that apply The side opposite Q is RS The side opposite Q is RQ The hypotenuse is QR The side adjacent to class=

Respuesta :

Answers: choice A, choice C, choice E

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More Details:

A) True. Side RS is as far away from Q as you can get. The letter Q is nowhere in the sequence RS.

B) False. The letter Q is found in the sequence RQ so this side is either adjacent or the hypotenuse (assuming we know nothing about angle S). It turns out RQ is the hypotenuse since angle S is the 90 degree angle. The hypotenuse is always opposite the 90 degree angle.

C) True. Refer to choice B above. QR is the same as RQ. The order of the letters does not matter when you label a segment.

D) False. Adjacent sides must include the reference angle. Angle R is the reference angle in this case, so R must be in the sequence. The adjacent side is RS or SR.

E) True. The letter Q is found in QS. This angle is touching or close to the segment QS. Therefore QS is adjacent to angle Q.

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For reference angle Q,

* The opposite side is RS or SR

* The adjacent side is QS or SQ

For reference angle R

* The opposite side is QS or SQ

* The adjacent side is RS or SR

The hypotenuse is always the side opposite the largest angle, which in this case is the 90 degree angle. The hypotenuse will be the same no matter what reference angle you use. You do not use the 90 degree angle as the reference angle.

The TRUE statement about right triangle QRS are:

  • Side opposite ∠Q is RS not RQ
  • Hypotenuse of the right triangle is QR
  • Adjacent side to ∠Q is QS

What is a Right Triangle?

A right triangle is a triangle that has a right angle that is always opposite to the longest side (hypotenuse).

In the right triangle given, the following statements can be said to be TRUE about triangle QRS:

  • Side opposite ∠Q is RS not RQ
  • Hypotenuse of the right triangle is QR
  • Adjacent side to ∠Q is QS

Learn more about right triangles on:

https://brainly.com/question/2217700