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.

The corresponding segments are what

Answer 1

The correct answer:
The corresponding segments BC and AD in the image are parallel

Answer 2

Answer: Segment BC of image is parallel to segment AD of image.

Explanation:

Given: Quadrilateral ABCD is the result of a translation of quadrilateral EFGH.

Segment EF is parallel to segment HG in the pre-image.

Since translation is a rigid transformation which preserves the side-lengths and angles of the original figures.

Therefore, all the segments of the image figure are parallel to correspondent segments of the original figure.

Segment AD of image is parallel to segment HG in the pre-image.

Segment BC of image is parallel to segment EF in the pre-image.

Hence, if Segment EF is parallel to segment HG in the pre-image.

⇒ Segment BC of image is parallel to segment AD in image.