Final answer:
Polygons can be identified by their unique features such as the number of sides or angles, which varies across different shapes. Waves of different frequencies can superpose, a concept in wave physics. The length of a resultant vector from two perpendicular vectors can be found using the Pythagorean theorem, reflecting vector components forming a right angle triangle.
Step-by-step explanation:
The statement “We cannot identify various basic polygons by characterizing their unique features” is false. Basic polygons can indeed be identified by their unique features. For example, a triangle has three sides, a quadrilateral has four, and so on. Polygons also vary in shape; they can be regular (all angles equal and all sides equal) or irregular. A square, which is a regular quadrilateral, has equal sides and each angle is a right angle. An equilateral triangle is characterized by having all three sides of the same length and all angles being equal.
Regarding waves, they can superimpose, even if their frequencies are different, which makes the statement true. Wave superposition can lead to phenomena such as interference and beats.
It is also true that we can use the Pythagorean theorem to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other. This is a fundamental principle in vector addition in physics.
Lastly, it is correct that a vector can form the shape of a right angle triangle with its x and y components, which reflects the ability to resolve a vector into its orthogonal components in two-dimensional space.