Question

1. a quilt is being designed to have a tessellation of parallelograms and triangles. which transformation is being applied from parallelogram a to parallelogram b?

reflection and rotation
dilation and rotation
rotation and translation
translation and reflection

Explanation:

Step1: Analyze the shape and size

Since the size of parallelogram A and B is the same, dilation (which changes size) is not involved. So we can rule out the option with dilation.

Step2: Check for rotation

Parallelogram B is not a mirror - image (reflection) of parallelogram A. If we consider the orientation, we can see that there is a rotation (a turn) involved. Also, there is a translation (a slide) as the position of parallelogram B is shifted from parallelogram A.

Answer:

rotation and translation