A rectangle is dilated using a scale factor of 6. The image is then dilated using a scale factor of 1/3. What scale factor could you use to dilate the original rectangle to get to the final rectangle. Explain.
you could use the scale factor of 2 becaue when you do 2*1/3 it gets six
6 * 1/3 = 2
To find the scale factor needed to dilate the original rectangle to get to the final rectangle, we can simply multiply the two individual scale factors together.
Given:
- Initial dilation: scale factor = 6
- Second dilation: scale factor = 1/3
To find the overall scale factor, we multiply the two scale factors:
6 * (1/3) = 6/3 = 2
Therefore, the scale factor needed to dilate the original rectangle to get to the final rectangle is 2.
To find the scale factor that could be used to dilate the original rectangle to get to the final rectangle, we can multiply the scale factors of the individual dilations.
Given that the original rectangle is dilated using a scale factor of 6, and then the resulting image is dilated using a scale factor of 1/3, we can multiply these two scale factors:
Scale factor = (6) * (1/3)
Simplifying this multiplication, we get:
Scale factor = 6/3
Dividing 6 by 3, we find:
Scale factor = 2
Therefore, a scale factor of 2 could be used to dilate the original rectangle to get to the final rectangle.
Explanation:
- When a figure is dilated, each side of the figure is multiplied by the scale factor. In this case, the original rectangle is dilated by a factor of 6, which means that every side of the rectangle is multiplied by 6 to create the image.
- Then, the resulting image is dilated by a scale factor of 1/3, which means that every side of the image is multiplied by 1/3.
- To find the total effect of the two dilations, we can multiply the scale factors. Multiplying 6 by 1/3 gives us 6/3, which simplifies to 2.
- Therefore, the original rectangle would need to be dilated using a scale factor of 2 in order to get to the final rectangle.