Thursday, December 17, 2009

Which of the following changes to the coordinates of the vertices of a figure would not change the dimensions?

A The x- and y-coordinates of the vertices are tripled.


B The x-coordinates of the vertices are doubled.


C Four is added to the x-coordinates of the vertices and three is subtracted from the y-coordinates of the vertices.


D Three is added to the x-coordinates of the vertices and the y-coordinates of the vertices are halved.Which of the following changes to the coordinates of the vertices of a figure would not change the dimensions?
If you add or subtract, that just moves the coordinates, but doesn't change the dimensions. However, anything that multiplies or divides the coordinates will *scale* the shape and change its dimensions:





A) --%26gt; tripling is a multiplying which will change the dimensions


B) --%26gt; doubling is also a multiplying


C) --%26gt; adding 4 and subtracting 3 will not affect the dimensions


D) --%26gt; adding 3 won't affect the horizontal dimension, but halving the y coordinates will affect the vertical.





Answer:


C Four is added to the x-coordinates of the vertices and three is subtracted from the y-coordinates of the vertices.
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