Question

determine whether the statement is always, sometimes, or never true. there is a similarity transformation between two parallelograms. choose the correct answer below. never always sometimes

Explanation:

For two parallelograms to have a similarity transformation, their corresponding angles must be equal and their corresponding sides must be in proportion.

• If two parallelograms are congruent (a special case of similarity with a scale factor of 1), there is a similarity transformation (a combination of translation, rotation, reflection, and dilation with scale factor 1).
• If two parallelograms have different angle measures (e.g., one is a rectangle (all angles = 90°) and another is a non - rectangle parallelogram (angles not all 90°)), there is no similarity transformation.
• If two parallelograms have the same angle measures but side lengths not in proportion, there is no similarity transformation. But if they have the same angle measures and side lengths in proportion, there is a similarity transformation.

Answer:

Sometimes