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, every point of the pre - image is moved the same distance and in the same direction. So, the line - segments connecting corresponding points are congruent and parallel.

Step2: Analyze segment lengths

Since all points are translated the same distance, \(LL' = MM'=NN' = PP'\). So, \(LL' = PP'\) and \(LL' = MM'\) are true.

Step3: Consider congruence of shapes

A translation is a rigid transformation, which means the pre - image and the image are congruent. So, trapezoid \(LMNP\) is congruent to trapezoid \(L'M'N'P'\).

Step4: Check parallelism

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

Answer:

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.