Quadrilateral: A polygon with exactly 4 sides and 4 vertices (corners).
Side: One of the four straight lines that make up a quadrilateral.
Vertex (plural: vertices): A corner where two sides meet.
Angle: The space between two connected sides, measured in degrees.
Right angle: An angle that measures exactly 90° (like the corner of a square).
Parallel lines: Lines that never meet, always stay the same distance apart.
• Every quadrilateral has exactly 4 sides
• Every quadrilateral has exactly 4 vertices
• The sum of all interior angles equals 360°
• Sides can be equal or different in length
• Angles can be right angles (90°) or other measurements
Step 1: Count the sides (must be 4 to be a quadrilateral)
Step 2: Measure or compare side lengths
Step 3: Check for right angles (90°) or equal angles
Step 4: Look for parallel sides
Step 5: Compare with specific quadrilateral definitions
• Square: "Perfect" - all sides equal AND all angles 90°
• Rectangle: "Right" angles - all 90°, opposite sides equal
• Rhombus: "Diamond" shape - all sides equal, angles not 90°
• Parallelogram: "Parallel" - opposite sides parallel and equal
• Trapezoid: "Trap" - one pair of parallel sides only
• Kite: "Flying" kite shape - two pairs of adjacent equal sides
All angles 90°
Question: Name this shape and explain why.
Answer: Square - 4 equal sides + 4 right angles
All angles 90°
Question: Is this a square or rectangle? Explain.
Answer: Rectangle - opposite sides equal + 4 right angles
Opposite angles equal
Question: Name this shape and describe its properties.
Answer: Rhombus - 4 equal sides, no right angles
Other sides not parallel
Question: What makes this a trapezoid?
Answer: Exactly one pair of parallel sides
- Look at each shape carefully
- Count the number of sides (should be 4)
- Measure or compare the side lengths
- Check for right angles or equal angles
- Look for parallel sides
- Name the shape based on its properties
- Write down why you chose that name
❌ Wrong: Thinking all rhombuses have right angles
✅ Correct: Only squares among rhombuses have right angles
❌ Wrong: Thinking trapezoids have two pairs of parallel sides
✅ Correct: Trapezoids have exactly one pair of parallel sides
❌ Wrong: Thinking shapes change type when rotated
✅ Correct: Shape type stays the same regardless of rotation