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select the correct shapes. select all of the shapes that have at least …

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 \(120^\circ\) and \(60^\circ\), so no sides are perpendicular (perpendicular sides would 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 adjacent sides are perpendicular. So the pink square is included.

Step3: Analyze the purple - white square with a diagonal

The square (even with a diagonal) has right angles at its corners, so adjacent sides are perpendicular. So this shape is included.

Step4: Analyze the yellow trapezoid

The yellow trapezoid is an isosceles trapezoid (assuming the non - parallel sides are equal in length), and its angles are not \(90^\circ\) (the base angles are equal but not \(90^\circ\)), so it has no perpendicular sides. So the yellow trapezoid is excluded.

Answer:

The pink square, the square with the purple triangle (the square - triangle combination)