Question

Trapezoid L'M'N'P' was constructed using trapezoid LMNP.

On a coordinate plane, 2 trapezoids are shown. Line segments connect each point on the pre-image to the corresponding point on the image.

For the transformation to be a translation, which statements must be true? Select four options.

LL'=PP'
LL'=MM'
Trapezoid LMNP is congruent to trapezoid L'M'N'P'.
NN'=One-halfPP'
All line segments that connect a point on the pre-image to its corresponding point on the image are parallel.

Answer 1

Correct choices:
- LL' = PP'
- LL' = MM'
- Trapezoid LMNP is congruent to trapezoid L'M'N'P'
- All line segments that connect a point on the pre-image to its corresponding point on the image are parallel.

Reason: a translation moves every point by the same vector, so corresponding connecting segments are parallel and equal in length, and the image is a congruent (rigidly moved) copy of the pre-image. The statement NN' = One-half PP' is false.