This worksheet asks you to classify quadrilaterals based on their most specific properties. I'll analyze each quadrilateral and provide the appropriate classification.

Analysis:

1. Quadrilateral 4:

   • Opposite sides are congruent (indicated by single and double hash marks).
   • Diagonals are not marked as perpendicular or bisecting.
   • Classification: Parallelogram.

2. Quadrilateral 5:

   • Opposite sides are congruent and parallel.
   • Diagonals are marked as perpendicular (forming right angles at the intersection).
   • Classification: Rhombus.

3. Quadrilateral 6:

   • All sides are congruent.
   • Opposite angles are congruent.
   • Diagonals are perpendicular and bisect each other.
   • Classification: Square (a specific type of rhombus and rectangle).

4. Quadrilateral 7:

   • Opposite sides are congruent and parallel.
   • No markings indicate the diagonals' relationships.
   • Classification: Parallelogram.

5. Quadrilateral 8:

   • All angles are marked as right angles (90°).
   • Opposite sides are parallel and congruent.
   • Classification: Rectangle.

6. Quadrilateral 9:

   • All sides are congruent.
   • Opposite angles are equal.
   • Diagonals bisect each other and form right angles.
   • Classification: Square.

7. Quadrilateral 10:

   • Opposite sides are parallel and congruent.
   • No additional markings for angles or diagonals.
   • Classification: Parallelogram.

8. Quadrilateral 11:

   • All angles are right angles (90°).
   • Opposite sides are parallel and congruent.
   • Classification: Rectangle.

Would you like a detailed explanation of any specific classification?

Related Questions:

1. What are the main properties of parallelograms?
2. How do diagonals help in identifying the type of quadrilateral?
3. Why is a square a special type of rectangle and rhombus?
4. What distinguishes a rhombus from a parallelogram?
5. How are the properties of diagonals in a square unique?

Tip:

Always verify diagonals' properties when classifying quadrilaterals—they provide key distinctions between similar shapes.