Question

trapezoid lmnp was constructed using trapezoid lmnp. 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 lmnp. nn = 1/2pp all line segments that connect a point on the pre - image to its corresponding point on the image are parallel.

Explanation:

Step1: Recall translation properties

In a translation, the distance between each point in the pre - image and its corresponding point in the image is the same. So, $LL' = MM'=NN'=PP'$.

Step2: Consider congruence

A translation is a rigid transformation. Rigid transformations preserve shape and size, so the pre - image and the image are congruent. Trapezoid $LMNP$ is congruent to trapezoid $L'M'N'P'$.

Step3: Analyze parallelism

The line segments that connect a point on the pre - image to its corresponding point on the image are parallel.

Answer:

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