Question

select the correct shapes.
select all of the shapes that have at least one pair of perpendicular sides.

Explanation:

Step1: Analyze the blue hexagon

A regular hexagon has internal angles of \(120^\circ\), so no sides are perpendicular (perpendicular sides form a \(90^\circ\) angle). So the blue hexagon is excluded.

Step2: Analyze the pink square

A square has four right angles (\(90^\circ\)), so all adjacent sides are perpendicular. Thus, the pink square has perpendicular sides.

Step3: Analyze the purple right triangle

A right triangle has one right angle (\(90^\circ\)), so the two legs forming the right angle are perpendicular. So the purple right triangle has perpendicular sides.

Step4: Analyze the yellow trapezoid

The yellow trapezoid (assuming it's an isosceles trapezoid or a non - right trapezoid) has no right angles, so no perpendicular sides.

Answer:

The pink square, the purple right triangle. (In boxed form for the shapes: \(\boxed{\text{Pink Square}}\), \(\boxed{\text{Purple Right Triangle}}\))