Final answer:
The statement suggesting a rectangle is a hexagon with four right angles is false because a rectangle is a four-sided figure with four right angles, whereas a hexagon has six sides.
Step-by-step explanation:
The statement 'A rectangle is a hexagon with four right angles' is false. A rectangle is a four-sided polygon, also known as a quadrilateral, with four right angles. In contrast, a hexagon is a six-sided polygon and does not have four sides or four right angles. The number of sides defines the shape, so a rectangle cannot be a hexagon because they have a different number of sides.
Looking at the reference information provided, we can verify the following statements:
- True or False - A vector can form the shape of a right angle triangle with its x and y components. The answer is true. A vector in two dimensions can be represented by its horizontal (x) and vertical (y) components, which can form a right-angle triangle.
- True or False - Pythagorean theorem can be used to calculate the length of the resultant vector obtained from the addition of two vectors which are at right angles to each other. The answer is true. When vectors are at right angles, their lengths can be considered as the sides of a right-angle triangle, where the resultant vector is the hypotenuse.
- True or False - If only the angles of two vectors are known, we cannot find the angle of their resultant addition vector without additional information. Therefore, without the magnitudes, the actual angle of the resultant cannot be determined, making the provided statement false.