Properties of Quadrilaterals Table | at the minute - Free Printable
Educational worksheet: Properties of Quadrilaterals Table | at the minute. Download and print for classroom or home learning activities.
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Step-by-step solution for: Properties of Quadrilaterals Table | at the minute
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Show Answer Key & Explanations
Step-by-step solution for: Properties of Quadrilaterals Table | at the minute
Let’s go step by step to fill in the “Properties of quadrilaterals table” for each shape. We’ll focus on what makes each shape special — like side lengths, angles, symmetry, and parallel sides.
We’ll do this one shape at a time:
---
1. Square
- All 4 sides are equal.
- All 4 angles are right angles (90°).
- Opposite sides are parallel.
- Has 4 lines of symmetry (vertical, horizontal, and two diagonals).
- Rotational symmetry of order 4 (looks the same after turning 90°, 180°, 270°, 360°).
→ Properties:
All sides equal, all angles 90°, opposite sides parallel, 4 lines of symmetry, rotational symmetry order 4.
---
2. Rectangle
- Opposite sides are equal and parallel.
- All 4 angles are right angles (90°).
- Has 2 lines of symmetry (vertical and horizontal through center).
- Rotational symmetry of order 2 (looks same after 180° and 360°).
→ Properties:
Opposite sides equal and parallel, all angles 90°, 2 lines of symmetry, rotational symmetry order 2.
---
3. Rhombus
- All 4 sides are equal.
- Opposite angles are equal.
- Opposite sides are parallel.
- Diagonals cross at right angles and bisect each other.
- Has 2 lines of symmetry (along the diagonals).
- Rotational symmetry of order 2.
→ Properties:
All sides equal, opposite angles equal, opposite sides parallel, diagonals perpendicular and bisect each other, 2 lines of symmetry, rotational symmetry order 2.
---
4. Parallelogram
- Opposite sides are equal and parallel.
- Opposite angles are equal.
- Consecutive angles add up to 180°.
- Diagonals bisect each other.
- Usually no lines of symmetry (unless it’s a rectangle or rhombus).
- Rotational symmetry of order 2.
→ Properties:
Opposite sides equal and parallel, opposite angles equal, consecutive angles sum to 180°, diagonals bisect each other, rotational symmetry order 2.
---
5. Kite
- Two pairs of adjacent sides are equal.
- One pair of opposite angles are equal (the ones between unequal sides).
- One diagonal is a line of symmetry (bisects the other diagonal at 90°).
- No rotational symmetry (unless it’s a rhombus).
→ Properties:
Two pairs of adjacent equal sides, one pair of opposite angles equal, one line of symmetry, diagonals intersect at 90°, one diagonal bisected.
---
6. Arrowhead (also called Dart)
- Looks like a kite but “pushed in” — concave shape.
- Two pairs of adjacent sides equal.
- One interior angle is greater than 180° (reflex angle).
- One line of symmetry.
- No rotational symmetry.
→ Properties:
Two pairs of adjacent equal sides, one reflex angle (>180°), one line of symmetry, concave quadrilateral.
---
7. Trapezium (called trapezoid in some countries)
- At least one pair of opposite sides is parallel.
- The parallel sides are called bases.
- Non-parallel sides are legs.
- May have no symmetry, or sometimes one line of symmetry if it’s an isosceles trapezium.
- No rotational symmetry usually.
→ Properties:
At least one pair of parallel sides, may have one line of symmetry if isosceles, no rotational symmetry typically.
---
Now let’s write these clearly into the table format as requested.
Final Answer:
| Shape name | Drawing (you draw these!) | Properties |
|----------------|-------------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------------------------------------------------------|
| Square | Draw a square with all sides equal and mark right angles | All sides equal, all angles 90°, opposite sides parallel, 4 lines of symmetry, rotational symmetry order 4 |
| Rectangle | Draw a rectangle with opposite sides equal and mark right angles | Opposite sides equal and parallel, all angles 90°, 2 lines of symmetry, rotational symmetry order 2 |
| Rhombus | Draw a diamond shape with all sides equal | All sides equal, opposite angles equal, opposite sides parallel, diagonals perpendicular and bisect each other, 2 lines of symmetry, rotational symmetry order 2 |
| Parallelogram | Draw a slanted box with opposite sides parallel | Opposite sides equal and parallel, opposite angles equal, consecutive angles sum to 180°, diagonals bisect each other, rotational symmetry order 2 |
| Kite | Draw a kite shape with two short top sides and two long bottom sides | Two pairs of adjacent equal sides, one pair of opposite angles equal, one line of symmetry, diagonals intersect at 90°, one diagonal bisected |
| Arrowhead | Draw a dart shape — like a kite pushed inward | Two pairs of adjacent equal sides, one reflex angle (>180°), one line of symmetry, concave quadrilateral |
| Trapezium | Draw a four-sided shape with only one pair of parallel sides | At least one pair of parallel sides, may have one line of symmetry if isosceles, no rotational symmetry typically |
*(Note: For the “Drawing” column, you should sketch each shape neatly, labeling equal sides with tick marks and right angles with small squares where needed.)*
We’ll do this one shape at a time:
---
1. Square
- All 4 sides are equal.
- All 4 angles are right angles (90°).
- Opposite sides are parallel.
- Has 4 lines of symmetry (vertical, horizontal, and two diagonals).
- Rotational symmetry of order 4 (looks the same after turning 90°, 180°, 270°, 360°).
→ Properties:
All sides equal, all angles 90°, opposite sides parallel, 4 lines of symmetry, rotational symmetry order 4.
---
2. Rectangle
- Opposite sides are equal and parallel.
- All 4 angles are right angles (90°).
- Has 2 lines of symmetry (vertical and horizontal through center).
- Rotational symmetry of order 2 (looks same after 180° and 360°).
→ Properties:
Opposite sides equal and parallel, all angles 90°, 2 lines of symmetry, rotational symmetry order 2.
---
3. Rhombus
- All 4 sides are equal.
- Opposite angles are equal.
- Opposite sides are parallel.
- Diagonals cross at right angles and bisect each other.
- Has 2 lines of symmetry (along the diagonals).
- Rotational symmetry of order 2.
→ Properties:
All sides equal, opposite angles equal, opposite sides parallel, diagonals perpendicular and bisect each other, 2 lines of symmetry, rotational symmetry order 2.
---
4. Parallelogram
- Opposite sides are equal and parallel.
- Opposite angles are equal.
- Consecutive angles add up to 180°.
- Diagonals bisect each other.
- Usually no lines of symmetry (unless it’s a rectangle or rhombus).
- Rotational symmetry of order 2.
→ Properties:
Opposite sides equal and parallel, opposite angles equal, consecutive angles sum to 180°, diagonals bisect each other, rotational symmetry order 2.
---
5. Kite
- Two pairs of adjacent sides are equal.
- One pair of opposite angles are equal (the ones between unequal sides).
- One diagonal is a line of symmetry (bisects the other diagonal at 90°).
- No rotational symmetry (unless it’s a rhombus).
→ Properties:
Two pairs of adjacent equal sides, one pair of opposite angles equal, one line of symmetry, diagonals intersect at 90°, one diagonal bisected.
---
6. Arrowhead (also called Dart)
- Looks like a kite but “pushed in” — concave shape.
- Two pairs of adjacent sides equal.
- One interior angle is greater than 180° (reflex angle).
- One line of symmetry.
- No rotational symmetry.
→ Properties:
Two pairs of adjacent equal sides, one reflex angle (>180°), one line of symmetry, concave quadrilateral.
---
7. Trapezium (called trapezoid in some countries)
- At least one pair of opposite sides is parallel.
- The parallel sides are called bases.
- Non-parallel sides are legs.
- May have no symmetry, or sometimes one line of symmetry if it’s an isosceles trapezium.
- No rotational symmetry usually.
→ Properties:
At least one pair of parallel sides, may have one line of symmetry if isosceles, no rotational symmetry typically.
---
Now let’s write these clearly into the table format as requested.
Final Answer:
| Shape name | Drawing (you draw these!) | Properties |
|----------------|-------------------------------------------------------------------------------------------|--------------------------------------------------------------------------------------------------------------------------------------------|
| Square | Draw a square with all sides equal and mark right angles | All sides equal, all angles 90°, opposite sides parallel, 4 lines of symmetry, rotational symmetry order 4 |
| Rectangle | Draw a rectangle with opposite sides equal and mark right angles | Opposite sides equal and parallel, all angles 90°, 2 lines of symmetry, rotational symmetry order 2 |
| Rhombus | Draw a diamond shape with all sides equal | All sides equal, opposite angles equal, opposite sides parallel, diagonals perpendicular and bisect each other, 2 lines of symmetry, rotational symmetry order 2 |
| Parallelogram | Draw a slanted box with opposite sides parallel | Opposite sides equal and parallel, opposite angles equal, consecutive angles sum to 180°, diagonals bisect each other, rotational symmetry order 2 |
| Kite | Draw a kite shape with two short top sides and two long bottom sides | Two pairs of adjacent equal sides, one pair of opposite angles equal, one line of symmetry, diagonals intersect at 90°, one diagonal bisected |
| Arrowhead | Draw a dart shape — like a kite pushed inward | Two pairs of adjacent equal sides, one reflex angle (>180°), one line of symmetry, concave quadrilateral |
| Trapezium | Draw a four-sided shape with only one pair of parallel sides | At least one pair of parallel sides, may have one line of symmetry if isosceles, no rotational symmetry typically |
*(Note: For the “Drawing” column, you should sketch each shape neatly, labeling equal sides with tick marks and right angles with small squares where needed.)*
Parent Tip: Review the logic above to help your child master the concept of properties of quadrilaterals worksheet.
