Question

select all the trapezoids.

Explanation:

Step1: Recall the definition of a trapezoid

A trapezoid is a quadrilateral with at least one pair of parallel sides.

Step2: Analyze each figure

• First (purple) figure: It has one pair of parallel sides (indicated by the arrows), so it is a trapezoid.
• Second (green parallelogram - like) figure: A parallelogram has two pairs of parallel sides, so it is a trapezoid (since it meets the "at least one pair" condition).
• Third (green irregular) figure: It does not have any pair of parallel sides, so it is not a trapezoid.
• Fourth (orange) figure: It has one pair of parallel sides (the vertical sides with arrows and right angles), so it is a trapezoid.

Wait, but initially, maybe the selection was incorrect. Wait, let's re - check:

The third figure: Let's see the sides. It looks like a quadrilateral with no parallel sides. So the correct trapezoids should be the first, second, and fourth. But maybe in the original selection, the third was incorrectly selected.

Wait, the problem is to select all trapezoids. Let's re - evaluate:

1. Purple figure: Has one pair of parallel sides (top and bottom) → trapezoid.
2. Green parallelogram: Parallelograms have two pairs of parallel sides, so they are trapezoids (by definition, at least one pair) → trapezoid.
3. Green irregular quadrilateral: No parallel sides → not a trapezoid.
4. Orange figure: Has one pair of parallel sides (the two vertical - like sides with arrows and right angles) → trapezoid.

So the correct ones are the first, second, and fourth. The third should not be selected. But if we go by the initial check, maybe the user made a mistake. But according to the definition:

A trapezoid (in the inclusive definition, which is common now) is a quadrilateral with at least one pair of parallel sides. So:

• First: Yes (one pair).
• Second: Yes (two pairs, so at least one).
• Third: No (no pairs).
• Fourth: Yes (one pair).

Answer:

The trapezoids are the first (purple), second (green parallelogram - like), and fourth (orange) figures. The third (green irregular) figure is not a trapezoid.