Quadrilateral STUV is dilated by a scale factor of 2 to form quadrilateral S'T'U'V'. What is the measure of side VS?
S'
T'
U'
V'
16
14.4
26.8
20.4
Answer
Attempt 1 out of 2
Since the quadrilateral was dilated by a scale factor of 2, all sides of the new quadrilateral are twice as long as the corresponding sides of the original quadrilateral.
Therefore, if side VS in the original quadrilateral was x units long, then in the new quadrilateral S'V' = 2x.
Given the measure of side VS in the new quadrilateral S'V' is 26.8 units, we can solve for x by dividing 26.8 by 2:
x = 26.8 / 2
x = 13.4
Therefore, the measure of side VS in the original quadrilateral is 13.4 units.