Question

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

Explanation:

Step1: Observe the transformation

By looking at the two parallelograms \(ADCB\) and \(EHGF\) on the coordinate - plane, we can see that the shape and size of the two parallelograms are the same. Also, the orientation of the vertices is the same.

Step2: Recall transformation types

A reflection would change the orientation of the figure. A rotation would also change the orientation. A dilation would change the size of the figure. A translation is a transformation that moves every point of a figure the same distance in the same direction. Since the shape, size, and orientation of \(ADCB\) and \(EHGF\) are the same, and one is just in a different position, it is a translation.

Answer:

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