Question

3. (04.01 MC)

Parallelogram RSTU is constructed with line AB drawn through its center. If the parallelogram is
dilated using a scale factor of 4 and a line is drawn through the center of the new dilated figure,
what relationship will the new line have with line AB? Explain your reasoning using complete
sentences. (10 points)

Answer 1

Answer: New line = 4AB

Explanation:

• If a figure is dilated with a scale factor of k , then the measure of new side length = k x (Original side)

if AB a line through center of parallelogram RSTU is drawn , then, after dealation with scale factor k= 4 , the length of new line through center = 4 x AB or 4AB.

The relationship will the new line have with line AB :

New line = 4AB