Question

can someone help with scale factors and dilation plz. giving medal.


Using the dilation shown above, which of the following is true regarding the scale factor of the dilation?
https://media.studyisland.com/pics/44766num10pic2.png

The scale factor of the dilation is equal to 1.

The scale factor of the dilation cannot be determined.

The scale factor of the dilation is greater than 1.

The scale factor of the dilation is less than 1, but greater than 0.

Answer 1

Compare the coordinates of the original to the coordinates of the dilation.

Is there a number with which you can multiply the original coordinate by to get the coordinate with the same relative position in the dilation.

For example, looking at the coordinate for the top left corner of the original, you see that it's coordinate is (-3,2). So x is -3 and y is 2. Now go the dilation. Looking at the top left corner you see that it's coordinate is (-6,4). So x is -6 and y is 4.

So is there a number with which we can multiply -3 by to get -6? Using this number, can you multiply it by the y value in the original (2) to get the y value in the dilation (4)?

Answer 2

Note if the point of dilation is not the center of the original, then we will have to doing some adjusting.

However, in this problem the point of dilation is located at the center of the original drawing. So checking the corners for a multiple works just fine.

Answer 3

If you want a greater understanding of dilation, rotation and translations, then get a free copy of geogebra and play around with those tools.

http://www.geogebra.org/

Answer 4

i already know the answer. but thx anyway