Question

unit 4 transformations > compositions of transformations assess parallelograms adcb and ehgf to decide if they are congruent. (1 point) yes, adcb ≅ ehgf because parallelogram adcb was rotated. yes, adcb ≅ ehgf because parallelogram adcb was reflected. no, adcb is not congruent to ehgf because parallelogram adcb was dilated. yes, adcb ≅ ehgf since parallelogram adcb was translated.

Explanation:

Step1: Recall congruence rules

Two figures are congruent if they have the same shape and size. Transformations like translation, rotation, and reflection preserve congruence, while dilation changes the size.

Step2: Analyze the transformation

By observing the coordinates of the vertices of parallelograms \(ADCB\) and \(EHGF\), we can see that the shape and size are the same, and the position has changed. The change is a translation (a slide) since the orientation and size have not changed.

Answer:

Yes, \(ADCB\cong EHGF\) since parallelogram \(ADCB\) was translated.