Question

assess parallelograms adcb and ehgf to decide if they are congruent (1 point) no, adcb is not congruent to ehgf because parallelogram adcb was dilated yes, adcb ≅ ehgf since parallelogram adcb was translated yes, adcb ≅ ehgf because parallelogram adcb was reflected yes, adcb ≅ ehgf because parallelogram adcb was rotated

Explanation:

Step1: Identify transformation type

By observing the position of parallelogram $ADCB$ and $EHGF$, we can see that all points of $ADCB$ are shifted a certain distance horizontally and vertically to get $EHGF$. This is a translation.

Step2: Recall congruence rules

Two figures are congruent if they have the same shape and size. A translation is a rigid - motion transformation that preserves shape and size.

Answer:

Yes, $ADCB\cong EHGF$ since parallelogram $ADCB$ was translated.