Question

The dashed figure is a dilation of the original figure. Find the scale factor. Classify the dilation as an enlargement or a reduction. Both the x- and y-axes are between negative 10 and 10 with interval marks representing one unit. A triangle drawn with a solid line connecting the points (-1 ,0),(2,1),(2,-1). A triangle drawn with a dashed line connecting the points (-3,0) have 1 hour to get this (6,3 ), (6,-3).
P.S. I actually know the answer it is scale factor 3, enlargement, however I do not know how, or I did but I'm to stupid to remember how I found it out... Could I get some help 1 hour to get this turned in to my professor. Brainliest for the Best Answer ASAP!

Answer 1

Answer:

• $scale\ factor=3$
• Enlargement.

Step-by-step explanation:

It is important to remember that a dilation is  defined as a transformation that does not change the shape, but the size.

If the image is larger than the pre-image, then the dilation is called "Enlargement".

If the image is smaller than the pre-image, then the dilatation is called "Reduction".

Observe the image attached.

According to the information provided in the exercise, the dashed figure is the image. Notice that it is larger than the original figure; therefore, you can classify the dilatation as an Enlargement.

In order to find the scale factor, you can divide the x-coordinate of a vertex of the image by the x-coordinate of  the corresponding vertex of the pre-image. Then, this is:

$scale\ factor=\frac{6}{2} \\\\scale\ factor=3$