Final answer:
The statement that two lines parallel to a third line are parallel is true. Similarly, the amplitudes of waves add up if they are on the same line, and a vector can form the shape of a right angle triangle with its x and y components.
Step-by-step explanation:
The statement that two lines parallel to a third line are parallel is true. This is a basic principle in geometry, known as the transitive property of parallel lines. If line A is parallel to line B, and line B is parallel to line C, then line A is also parallel to line C. This rule helps in understanding the relationship between parallel lines, which never intersect and are always the same distance apart.
In terms of waves, when discussing amplitude and waves propagation, it's important to note that the amplitudes of waves add up only if they are aligning and interacting on the same line, making the statement true. This is based on the principle of superposition, which applies to waves in the same medium and along the same line.
When working with vectors, a vector can indeed form the shape of a right angle triangle with its x and y components, which is true. This is useful when applying the Pythagorean theorem to find the magnitude of the resultant vector, illustrating that the length of a resultant vector obtained from the addition of two vectors at right angles can be calculated using this theorem.