MS2013 Assignment – Test 1 Make-Up
Rectangles versus rhombuses
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2. Rectangles versus rhombuses:Which properties do they have in common? Which properties distinguish rhombuses from rectangles (and vice-versa?) 
3. Application of parallelograms: Adding Vectors.The forces acting on an object determine the direction in which the object will move. A force is represented by a vector, showing not only how large the force is, but also the direction in which it acts. 
Each vector is given by two plane coordinates and  . The vector  is defined in coordinates by: and 
Here  are the coordinates of the vector  , and  the coordinates of the vector 
a) Explain the geometric significance of the coordinates b) Use congruent triangles and the properties of parallelograms and rectangles to prove that if and only if  is a parallelogram.
c) Let  be the midpoint of segment  Write a formula for the coordinates of M in terms of the coordinates of A and B. Which property of a parallelogram is useful in deriving this formula?Download 104.02 Kb. Share with your friends:
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. If two forces act on an object at the same time, then the direction in which the object will move will be given by the sum of the two vectors:
(What do they represent in the diagram below? How are coordinates of a point constructed in general?) 1 2