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I. Properties of Quadrilaterals Chart

Here is the completed chart based on the geometric properties of each shape.

| Property | Parallelogram | Rectangle | Rhombus | Square | Trapezoid | Isosceles Trapezoid | Kite |
| :--- | :---: | :---: | :---: | :---: | :---: | :---: | :---: |
| Two pairs of opposite sides are parallel | YES | YES | YES | YES | NO | NO | NO |
| Exactly one pair of opposite sides are parallel | NO | NO | NO | NO | YES | YES | NO |
| Two pairs of opposite sides are congruent | YES | YES | YES | YES | NO | NO | NO |
| Two pairs of adjacent sides are congruent | NO | NO | YES | YES | NO | NO | YES |
| Exactly one pair of congruent sides | NO | NO | NO | NO | NO | NO | YES* |
| All sides are congruent | NO | NO | YES | YES | NO | NO | NO |
| Opposite angles are congruent | YES | YES | YES | YES | NO | NO | NO |
| Exactly one pair of congruent angles | NO | NO | NO | NO | NO | NO | YES* |
| All angles measure 90° | NO | YES | NO | YES | NO | NO | NO |
| Both diagonals bisect each other | YES | YES | YES | YES | NO | NO | NO |
| Diagonals are perpendicular | NO | NO | YES | YES | NO | NO | YES |
| One diagonal is bisected | NO | NO | NO | NO | NO | NO | YES |
| Diagonals bisect both pair of opposite sides | NO | NO | NO | NO | NO | NO | NO |
| Consecutive angles are supplementary | YES | YES | YES | YES | YES | YES | NO |

*(Note for Kite: A kite has exactly one pair of opposite angles that are congruent, and usually only one pair of congruent sides unless it is a rhombus).*

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II. Short Answer Questions

1. Discuss the properties that makes a quadrilateral different from other types of polygons.
A quadrilateral is distinct because it is a polygon with exactly four sides and four vertices (corners). Unlike triangles (3 sides) or pentagons (5 sides), the sum of the interior angles of any quadrilateral always adds up to 360 degrees. This specific number of sides allows for unique shapes like squares and trapezoids that cannot exist with fewer or more sides.

2. What makes parallelogram, trapezoid and kite differ from each other?
The main difference lies in their parallel sides and symmetry. A parallelogram has two pairs of parallel opposite sides. A trapezoid has exactly one pair of parallel opposite sides. A kite generally has no parallel sides; instead, it is defined by having two pairs of equal-length sides that are next to (adjacent to) each other.

3. What makes square, rhombus, and rectangle a special parallelogram?
These three shapes are "special" because they start as parallelograms (two pairs of parallel sides) but add extra rules. A rectangle is a parallelogram with four right angles ($90^\circ$). A rhombus is a parallelogram with four congruent (equal length) sides. A square is the most special because it combines both rules: it has four right angles AND four congruent sides.

4. How important are the properties of each quadrilateral in finding unknown values/parts?
Knowing these properties is essential because they act like clues in a puzzle. For example, if you know a shape is a rectangle, you immediately know all its angles are $90^\circ$ without measuring them. If you know it is a parallelogram, you know opposite sides are equal, so if one side is 5 cm, the opposite side must also be 5 cm. These rules allow you to calculate missing lengths and angles using logic rather than just guessing.