Question

here is the image of triangle ABC and its dilation using Center D and scale factor 2. Why is B'C' on the same line as its corresponing side segment BC​

Answer 1

Since only the lengths increase by scale factor,  B'C' on the same line as its corresponding side segment BC​ .

What is the Dilation?

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

The following are the properties of dilation of the triangle:

1)measures of the angles will not change

2)The sides  of the image of the triangle are multiplied  by the scale factor 2.

So,

A'B'=2AB

B'C'=2BC

A'C'=2AC

Since only the lengths  increase by scale factor,  B'C' on the same line as its corresponding side segment BC​ .

To learn more about the Dilation from the given link

brainly.com/question/3457976

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