Final answer:
The quadrilateral angle sum question is true, indicating all quadrilateral angles sum to 360 degrees. The confusion likely arises from mixing mathematical concepts with physics statements about vectors and wave properties.
Step-by-step explanation:
The sum of the interior angles of any quadrilateral is always 360 degrees, so the direct answer in 2 lines to the student's question is True. However, this question seems to be mixed up with statements concerning vector addition, Pythagorean theorem, and properties of waves from physics. Therefore, let's clarify the given statements in the context of physics and mathematics.
A vector can, indeed, form the shape of a right-angle triangle with its x and y components, representing the horizontal and vertical components, respectively. Statement 36 is also True: The Pythagorean theorem can be used to calculate the length of the resultant vector if the two original vectors are perpendicular to each other. For Statement 83/GRASP CHECK, the answer is False: If only the angles of two vectors are known, without their magnitudes, we cannot find the angle of their resultant addition vector.
Regarding Statement 84, it's True that with the magnitude of one vector, and the angles of both, the magnitude and direction of the resultant vector can be found, typically using trigonometric functions. Lastly, Statement 69 is c. The range of a projectile is zero when launched at an angle of 90° because it would move straight up and then straight down, back to its launch position.