Question

I WILL MARK YOU BRAINLIEST PLS HELP!!! The image below shows two dilated figures with lines AB and A’B’ drawn. If the larger figure was dilated using a scale factor of 3, what relationship do lines AB and A’B’ have?

Answer 1

Answer:

The relationship between two lines AB and A’B’ is A'B'=3AB.

Step-by-step explanation:

It is given that in the given figure larger figure was dilated using a scale factor of 3. It means the smaller and larger figures are similar and there corresponding sides are in the ratio 1:3.

The line AB connecting the two points of the smaller figure and line A'B' connecting the two points of the larger figure.

Since A'B' is corresponding line segment of AB in larger figure, therefore the ratio of AB to A'B' is 1:3.

$\frac{AB}{A'B'}=\frac{1}{3}$

By cross multiplication we get

$3AB=A'B'$

The length of segment A'B' is 3 times of AB.

Therefore the relationship between two lines AB and A’B’ is A'B'=3AB.

Answer 2

Answer:

Lines AB and A'B' are similar, line A'B' being three times the size of line AB. They would not be congruent since a dilation isn't a rigid transformation but they would be similar. Their lengths would also be expressed in the form of a ratio which would be 1:3 if you do AB to A'B' and 3:1 if you do A'B' to AB. Hope this helped! :)

Step-by-step explanation: