Final answer:
Point X on the midsegment XY of a trapezoid must be the midpoint of the non-parallel sides, making XY parallel to the bases and its length the average of the two bases. Additionally, it is true that a vector can form a right angle triangle with its x and y components which form the adjacent and opposite sides respectively.
Step-by-step explanation:
If XY is the midsegment of a trapezoid, point X on one of the non-parallel sides must be the midpoint between the upper base and the lower base of the trapezoid. By definition, a midsegment in a trapezoid is a segment that connects the midpoints of the non-parallel sides. As a result, XY will be parallel to the two bases and its length will be the average of the lengths of the two bases. Moreover, regarding vectors and their components, the statement is true that a vector can form the shape of a right angle triangle with its x and y components. Vectors Ax and Ay are the components of vector A along the x- and y-axes, respectively. The three vectors, A, Ax, and Ay, form a right angle triangle where Ax is the adjacent side, Ay is the opposite side, and A is the hypotenuse in accordance with the definitions of sine, cosine, and tangent for right triangles as provided in various examples in physics and mathematics discussions.