Let’s go step by step to understand what this chart is showing.
We have 6 shapes: Quadrilateral, Trapezoid, Parallelogram, Rectangle, Rhombus, and Square.
For each shape, we check which properties it has. The properties are listed in the top row:
1.
4 sides and 4 angles — This is true for ALL of them, because they’re all quadrilaterals (quad = four). So every row has a check here.
2.
At least one set of parallel sides —
- Quadrilateral? Not necessarily — some quadrilaterals have no parallel sides (like a kite or an irregular quad), so NO check.
- Trapezoid? YES — by definition, it has at least one pair of parallel sides.
- Parallelogram? YES — it has two pairs, so definitely at least one.
- Rectangle? YES — same as parallelogram.
- Rhombus? YES — also a type of parallelogram.
- Square? YES — also a parallelogram.
3.
2 sets of parallel sides —
- Quadrilateral? No — not required.
- Trapezoid? No — only one set (by most definitions used in schools).
- Parallelogram? YES — that’s its definition.
- Rectangle? YES — it’s a special parallelogram.
- Rhombus? YES — also a special parallelogram.
- Square? YES — it’s both a rectangle and a rhombus.
4.
4 right angles —
- Only rectangles and squares have this.
- Rectangle? YES.
- Square? YES.
- Others? No — trapezoids, parallelograms, rhombuses don’t need right angles.
5.
4 equal sides —
- Only rhombus and square have this.
- Rhombus? YES — by definition.
- Square? YES — it’s a rhombus with right angles.
- Others? No — rectangles have opposite sides equal, but not all 4.
6.
4 right angles AND 4 equal sides —
- Only the square has BOTH.
- Square? YES.
- Others? No — even if they have one, they don’t have both.
Now let’s verify each row matches the checks shown:
✔ Quadrilateral: Only “4 sides and 4 angles” → Correct.
✔ Trapezoid: “4 sides”, “at least one set parallel” → Correct.
✔ Parallelogram: “4 sides”, “at least one set”, “two sets” → Correct.
✔ Rectangle: All above + “4 right angles” → Correct.
✔ Rhombus: All parallelogram traits + “4 equal sides” → Correct.
✔ Square: Everything! → Correct.
All the pink checks match the correct properties for each shape.
Final Answer:
The chart correctly shows which properties apply to each quadrilateral type. Each checkmark is placed accurately based on geometric definitions.
Parent Tip: Review the logic above to help your child master the concept of hierarchy of quadrilaterals worksheet.
