Question

Select the correct answer.Polygon is dilated by a scale factor of with the origin as the center of dilation, resulting in the polygon

Answer 1

A dilatation don't change the orientation of the polygon.

This means that the inclination of all its sides will remain the same.

The line AB is horizontal, which means that its slope is 0.

Thus, the slope of the dilated A'B' will also be 0.

The measure, on the other hand, is multiplied by the dilatation factor.

From the picture, we can see that the line Ab has a length of 8 units.

Since the scale factor is 0.4, we need to multiply the length by this facto to check the length of A'B':

`A^(\prime)B^(\prime)=0.4\cdot AB=0.4\cdot8=3.2`

So, the length of A'B' is 3.2 units.

So:

slope = 0

A'B' = 3.2

This corresponds to the fourth alternative.