Question

which shape is both a parallelogram and a rhombus?

Explanation:

Step1: Recall the properties of a parallelogram

A parallelogram has two pairs of parallel sides.

Step2: Recall the properties of a rhombus

A rhombus is a parallelogram with all - sides equal.

Step3: Analyze the shapes

• The first (purple) shape: It has two pairs of parallel sides (so it is a parallelogram) and all its sides are equal (so it is a rhombus).
• The second (pink) shape: It is not a parallelogram (as it does not have two pairs of parallel sides), so it cannot be a rhombus (since a rhombus is a type of parallelogram).
• The third (orange) shape: It is a parallelogram (two pairs of parallel sides), but its adjacent sides are not equal (so it is not a rhombus).
• The fourth (light - blue) shape: It is a parallelogram (two pairs of parallel sides), but its adjacent sides are not equal (so it is not a rhombus).

Answer:

The first (purple) shape.