Question

put each figure in the category that best describes it. put only one figure in each category. quadrilateral square rhombus trapezoid

Explanation:

Step1: Recall Definitions

• Quadrilateral: 4 - sided polygon (no special properties like parallel sides, equal sides, right angles required).
• Square: Quadrilateral with 4 equal sides, 4 right angles, and 2 pairs of parallel sides.
• Rhombus: Quadrilateral with 4 equal sides, 2 pairs of parallel sides (angles not necessarily right).
• Trapezoid: Quadrilateral with at least 1 pair of parallel sides.

Step2: Analyze Each Figure

1. First Figure (Irregular 4 - sided): It's a quadrilateral (4 sides) with no special properties (not a square, rhombus, or trapezoid - no parallel sides visible). So it goes to Quadrilateral.
2. Second Figure (Square - like with right angles and equal sides): Has 4 equal sides, 4 right angles, 2 pairs of parallel sides. So it's a Square.
3. Third Figure (Trapezoid - like with one pair of parallel sides): Has one pair of parallel sides (marked by arrows). So it's a Trapezoid.
4. Fourth Figure (Rhombus - like with 4 equal sides, parallel sides): Has 4 equal sides (marked by ticks) and 2 pairs of parallel sides (opposite sides parallel in a rhombus). So it's a Rhombus.

Step3: Assign to Categories

• Quadrilateral: First figure (irregular 4 - sided).
• Square: Second figure (with right angles and equal sides).
• Rhombus: Fourth figure (4 equal sides, parallel sides).
• Trapezoid: Third figure (one pair of parallel sides).

Answer:

• Quadrilateral: The first figure (left - most 4 - sided irregular figure).
• Square: The second figure (with right angles and equal - side markings).
• Rhombus: The fourth figure (diamond - shaped with equal - side markings).
• Trapezoid: The third figure (with parallel - side arrows).