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 translation

Translation is moving a figure without rotation or reflection. Here, from A to B, there is no simple translation as orientation changes.

Step2: Analyze reflection

Reflection flips a figure. But from A to B, it's not a reflection as the orientation change is more of a rotation - like change.

Step3: Analyze rotation

Rotation turns a figure around a point. Observe that parallelogram B can be obtained by rotating parallelogram A (around a suitable point) and then translating it (moving it to the new position without resizing as all parallelograms are of the same size, so no dilation).

Answer:

rotation and translation