Question

Observe parallelogram ABCD plotted on the coordinate plane below.



Part I: Provide the coordinates of a parallelogram A’B’C’D’ that is congruent to parallelogram ABCD. Explain why these figures are congruent. (4 points)

Part II: Provide the coordinates of a parallelogram A’’B’’C’’D’’ that is similar to parallelogram ABCD. Explain why these figures are similar.

Answer 1

someone please help!!

Answer 2

The easiest way to do this is to translate the figure by a given amount in some direction. In order to do that, add the same constants to each corner coordinate. For example, we might move it one to the left and two down. In this case, the x coordinates grow by one unit, and the y coordinate is reduced by two. The original coordinates of A, B, C, and D can be extracted from the diagram; after that it's just a little arithmetic to get A', B', C', and D'.

Answer 3

The design of the similar figure could be a little more complicated, or, if we are sly, just a step or two longer. I think my first step would be to translate the figure as described above so point A' is at the origin. Then multiply your new coordinates (A', B', C', and D') by two to get A", B", C", and D". That figure will be similar to the first and second.

Answer 4

Hope this was helpful. Do math every day.