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A parallelogram is a 4 sided-shape where both pairs of opposite sides are parallel.

A True
B False

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Final answer:

The statement about a parallelogram having both pairs of opposite sides parallel is true, as is the statement about a vector being able to form a right-angle triangle with its x and y components.

Step-by-step explanation:

The statement "A parallelogram is a 4 sided-shape where both pairs of opposite sides are parallel" is True. A parallelogram is indeed a four-sided polygon (quadrilateral) characterized by having both pairs of opposite sides parallel to each other. The opposite sides are not only parallel but also of equal length, and opposite angles are equal as well. This definition is fundamental in understanding various geometrical concepts and shapes.

In relation to vectors, the statement that "A vector can form the shape of a right angle triangle with its x and y components" is also True. In vector analysis, any vector in a two-dimensional space can be broken down into two perpendicular components, often called the x (horizontal) and y (vertical) components. When these components are drawn from the tail of the original vector at right angles to one another, they form the two legs of a right triangle, with the original vector serving as the hypotenuse.

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