Question

Quadrilateral ABCD is the result of a translation of quadrilateral EFGH. Segment EF is parallel to segment HG in the pre-image. Select from the drop-down menus to correctly complete the statement. Segment EF is parallel to segment HG in the pre-image.

Answer 1

The corresponding segments BC and AD in the image are parallel.

I agree with this person, he/she is correct.

Answer 2

Translations of figures preserve the lengths and angles of the original figures, then all the segments of the image figure are parallel to correspondant segments of the original figure.

Then you can state that the same relation between any two sides of the original figure is what you will have for the image.

AB is parallel to HE

AD is parallel to HG

DC is parallel to GF

BC is parallel to EF


Then is EF is parallel to HG in the pre-image the correspondant segments in the image are parallel too, i.e. BC is parallel to AD in the image.