Answer:
✔️Segment EF is twice as long as segment AB
✔️The length of segment EH is 16 units.
Step-by-step explanation:
Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.
Therefore: scale factor = ratio of any of their corresponding side
Scale factor = GH/CD = 12/6 = 2
This means quadrilateral EFGH is twice the size of quadrilateral ABCD.
The shape of the original polygon remains the same while the size increases.
This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.
Since shape remains the same, their corresponding angles are congruent and the same in measure.
Therefore, the following statements are true and correct:
✔️Segment EF is twice as long as segment AB
(EF = AB*scale factor = 3*2 = 6)
✔️The length of segment EH is 16 units.
(EH = AD*scale factor = 8*2 = 16)
